Approximation Theory

Prof. Dr. HÜSEYİN AKTUĞLU

MS Thesis

Mehmet Karay, “Fixed Point Theorems", Doğu Akdeniz Üniversitesi, 2005.
Halil Gezer, “Statistical Convergence", Doğu Akdeniz Üniversitesi, 2008.
Aysel Aygören, “Fractional Derivatives and Integrals", Doğu Akdeniz Üniversitesi, 2014.
Hande Kukul,"αβ-statistical convergence", Doğu Akdeniz Üniversitesi, 2014.
Saadia Yousuf, A-statistical convergence", Doğu Akdeniz Üniversitesi, 2016.
Erdem Baytunç, “Convergent Sequences and Statistical Limit points", 2018.
Gizem Dağbaşı. “Matrix Summability Methods",

PhD Thesis

Şerife Bekar, “q-Matrix Summability Methods", Doğu Akdeniz Üniversitesi, 2011.

Halil Gezer, “ Equistatistical Convergence", Doğu Akdeniz Üniversitesi, 2013.

Publications

Aktuğlu, H, Gezer, H. “ Korovkin type Approximation Theorem Proved via Weighted αβ- statistical Convergence for bivariate functions. Volume 32, (18) 6253-6266 (2018).
Özarslan, M.A., Aktuğlu, H., Weighted αβ-statistical convergence of Kantorovich-Mittag-Leffler operators, Mathematica Slovaca. Volume 66, (3), (2016) .
Aktuğlu, H, Özarslan, M.A, “Anti-periodic BVP for Volterra integro-differential equation of fractional order 1 < alpha <= 2, involving Mittag-Leffler function in the kernel”, Journal of nonlinear sciences and applications, Volume: 9 Issue: 2 Pages: 452-460, (2016).
Aktuğlu, H., “Korovkin type theorem for non-tensor Balazs type Bleimann, Butzer and Hahn operators”. Mathematical methods in the applied sciences, 38, (9) Pages: 1937-1944, (2015).
Özarslan, M.A , Aktuğlu, H., “Korovkin type approximation theorems proved via αβ-statistical convergence”. Journal of Computational and applied mathematics, Volume: 259 Pages: 174-181, Part: A , (2014).
Aktuğlu, H, Özarslan, M.A, “Solvability of differential equations of order 2 < alpha <= 3 involving the p-Laplacian operator with boundary conditions”. Advances in difference Equations, Article Number: 358, 2013.
Özarslan, M.A., Aktuğlu, H,. “Local Approximation Properties for certain King type Operators”, Filomat, Volume: 27 Issue: 1 pp. 173-181, 2013.
H. Aktuğlu, M.A. Özarslan, “On the Solvability of Caputo q-Fractional Boundary Value Problem Involving p-Laplacian Operator”, Abstarct and Applied Analysis, Article Number: 658617, 2013.
Özarslan, M.A., Aktuğlu, H,. “Quantitative Global Estimates for Generalized Double Szasz-Mirakjan Operators”, Journal of Applied Mathematics, Article Number: 613258, 2013.
Özarslan, M.A., Aktuğlu, H,. “A-statistical approximation of generalized Szasz-Mirakjan-Beta operators”, Applied Mathematics Letter, Volume: 24 Issue: 11 pp.1785-1790, 2011.
Aktuğlu, H., Bekar Ş. “q- Cesáro Matrix and q- Statistical Convergence”, Journal of Computational and applied mathematics, Volume. 235 Issue: 16, SI, Pages 4717-4723, 2011.
Aktuğlu, H., Özarslan, M. Ali, Duman, Oktay, “Matrix Summability Methods on The Approximation of Multivariate q-MKZ Operators”, Bulletin of The Malaysian Mathematical Sciences Society, Volume: 34, Issue: 3, pp. 465-474, 2011.
Aktuğlu, H, Özarslan, M.A., “Korovkin Type Approximation Theorem for BBH type Operators via I-convergence”. Mathematica Slovaca, (2010) accepted
H. Aktuğlu, M.A. Özarslan and Halil Gezer, “A-Equistatistical convergence of positive linear operators’’. Journal of Computational Analysis and Applications, vol. 12, No 1-A, pp. 7-12, 2010.
S. Zorlu, H. Aktuğlu, M.A. Özarslan. “ An Estimation to the Solution of an initial value problem via q- Bernstein Polynomials, Journal of Computational Analysis and Applications, vol. 12 No. 3, pp. 637-645, 2010.
Aktuğlu, H, Gezer, H. “ Lacunary Equi- statistical Convergence of positive Linear Operators. Cent. Eur. J. Math., 7(3), pp. 558-567, 2009.
Aktuğlu, H., Özarslan, “Local approximation properties of certain class of positive linear operators, Cent. Eur. J. Math., 6(2) 2008, pp. 281-286.
Aktuğlu, H., Özarslan, M. A., Duman, O., ‘’ Better Error Estimates for Szasz-Mirakjan – Beta Operators’’ Journal of Computational Analysisi and applications, 2008
Çapar U. Aktuğlu H., ‘Overall View of Stochastics in Colombeau Related Algebras’.Stochastic Analysis and Related Topics VIII, (progress in probability series), Birkhauser, pp. 67-98, 2003.
Çapar U. Aktuğlu H., ‘A new construction of Colombeau Algebras’.Statistics and Probability Letters, 54, pp.291-299, 2001.

Projects

KKTC Milli Eğitim Bakanlığı B tipi proje yardımcı yürütücülüğü.

Conference Presentations

Çapar U. and Aktuğlu H., ‘On the extension Problem in Processes Generalized in the Colombeau Sense’. Proceedings of Prague Stochastics’ 98. Academy of Sciences of Czech Republic, pp. 73-79, 1998.
H. Aktuğlu and Ş. Bekar, “q-Statistical Convergence”, 14th International Congress on Computational and Applied Mathematics (ICCAM 2009), 29 September -2 October 2009, Antalya-Turkey.
H. Aktuğlu and Ş. Bekar, On q-Summability Methods, International Conference On Mathematical Science(ICMS), 23-27 November 2010, Abant İzzet Baysal University, Bolu-Turkey.
H. Aktuğlu and Ş. Bekar, q-Matrix Summability Methods, Conference on Summability and Applications 2011, 12-13 May 2011, Istanbul Commerce University, Istanbul-Turkey.
H. Gezer and H. Aktuğlu, Strong A-summability of order α. International conference on Applied Mathematics and Approximation Theory AMAT 2012-Turkey, May 17-20, 2012.
Gezer, H., Aktuğlu, H., A note on weighted αβ-equistatistical convergence of order γ, International conferance on mathematics, an İstanbul meeting for world mathematicians with minisymposium on approximation theory, 3-6 July 2018, İstanbul/Turkey.

Prof. Dr. MEHMET ALİ ÖZARSLAN

MS Thesis

Habibe Tilim , Volterra Integral Equations of the Second Kind (2007).
Tuba Vedi, Schurer Type q-Bernstein Operators (2011).
Gizem Baran , Exponential Operators and Hermite Type Polynomials (2016).

PhD Thesis

Cemaliye Kurt, Some results on Laguerre type and Mittag-Leffler type functions (2017) .
Ceren Ustaoğlu, Incomplete Pochhammer Ratio and Related Special Functions (2015).
Tuba Vedi, Approximation Properties of q-Bernstein-Schurer Operators (2015).
Dr. Banu Yılmaz, Some Properties of Appell Polynomials (2014).
Dr. Emine Özergin, Some Properties of Hypergeometric Functions (2011).
Dr. Cem Kaanoğlu, Some Properties of Certain Class of Polynomials (2010).

Publications

Mehmet Ali Özarslan and Cemaliye Kürt, Bivariate Mittag-Leffler function arising in the solutions of convolution integral equation with 2D-Laguerre-Konhauser polynomials in the kernel, Applied Math. Comput. Volume 347, 15 April 2019, 631-644.
H. M. Srivastava, M. A. Özarslan, Banu Yılmaz Yaşar, Difference equations for a class of twiceiterated Δh-Appell sequences of polynomials, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturelas. Serie A Mathematicas, (2018), pp 1–21.
Serhan Varma, Banu Yılmaz Yaşar, Mehmet Ali Özarslan, Hahn-Appell polynomials and their dorthogonality, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturelas. Serie A Mathematicas, (2018), pp 1–17.
M.A. Özarslan and C. Kurt,On a double integral equation including a set two variables polynomials suggested by Laguerre Polynomials, Journal of Computational Analysis and Applications 22 (7) (2017),1198-1207.
M.A. Özarslan and T.Vedi, Two-dimensional Chlodowsky variant of q-Bernstein-Shurer-Stancu Operators, Journal of Computational Anlaysis and Applications 23 (3) (2017),446-461. M.A. Özarslan,R. Srivastava and C. Kaanoğlu, Certain Families of Multivaible Chan-ChyanSrivastava Polynomails, Miskolc Mathematical Notes 18 1 (2017), 379-389.
M.A. Özarslan and H. Aktuğlu, Weighted alpha beta-statistical convergence of Kanorovich MittagLeffler operators, Slovaca 66 (3) (2016),695-706.3
M.A. Özarslan, New Korovkin type theorem for non-tensor Meyer-König and Zeller operators, Results in Mathematics 69 (3-4) (2016),327-343.
M.A. Özarslan and O. Duman, Smoothness properties of modified Bernstein-Kantorovich operators, Numerical Functional Analysis and Optimization, 37 (1) (2016), 92-105.
M.A. Özarslan and B.Y. Yasar, Unified Bessel, modified Bessel, spherical Bessel and BesselClifford functions, Journal of Inequalities and Special Functions ,7 (4) (2016),77- 117.
M.A. Özarslan and T. Vedi, Voronovskaja type approximation theorem for q-Szasz-Schurer operators, Computational Analysis, 155 (2016),353-361.
M.A. Özarslan, Approximation properties of Jain-Stancu operators, Filomat 30 (4) (2016),1081-1088.
M.A. Özarslan and H. Aktuğlu, Anti-periodic BVP for Volterra integro-differenetial equation of fractional order 1<alpha<=2 involving Mittag-Leffler function in the kernel, Journal of Nonlinear Sciences and Applications 9 (2) (2016),452-460.
M.A. Özarslan and H. Aktuğlu, Korovkin type theorem for non-tensor Balasz type Bleimann, Butzer and Hahn operators, Math. Meth. Appl. Sci., 38(9) (2015)1937-1944.
T. Vedi and M.A. Özarslan, Chlodowsky type q-Bernstein-Stancu-Kantorovich operators, Journal of Inequalities and Applications, article no: 91 (2015), 16 pages.
M.A. Özarslan and S. Gaboury, Srivastava-Pinter theorems for 2D-Appell polynomials and their Applications, Math. Meth. Appl. Sci., 37(15)(2014), 2198-2210.
S. Gaboury and M.A. Özarslan, Singular integral equation involving a multivariable analog of MittagLeffler function, Advances in differences equations, article no: 252 (2014), 10 pages.
H.M. Srivastava, M.A. Özarslan, B. Yılmaz, Some families of differential equations associated with the Hermite-based Appell polynomials and other classes of Hermite-based polynomials, Filomat, 28 (4) (2014), 695-708.
T. Vedi and M.A. Özarslan, Chlodowsky variant of q-Bernstein-Schurer-Stancu operators, Journal of Inequalities and Applications, article no: 189 (2014), 14 pages.
M.A. Özarslan and B. Yılmaz, A set of finite order differential equations for the Appell polynomials, J. of Comp. and Appl. Math., 259 (2014), 108-116.
M.A. Özarslan, On a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomials, Applied Mathematics and Computation, 229 (2014), 350-358.
M.A. Özarslan and B. Yılmaz, The Extended Mittag-Leffler function and its properties, Journal ofInequalities and Applications, article no:85 (2014), 10 pages. 4
H. Aktuğlu and M.A. Özarslan, Solvability of differential equations of order involving thep-Laplacian operator with boundary conditions, Advances in differences equations, article no: 358 (2013), 13 pages
M. Bozer and M.A. Özarslan, Notes on generalized Gamma, Beta and Hypergeometric function, J. Comp. Anal. and Appl., 15 (7) (2013), 1194-1201.
M.A. Özarslan and T. Vedi, q- Bernstein-Schurer-Kantorovich Operators, J. of Ineq. and Appl. article no: 444 (2013), 15 pages.
C. Kaanoğlu and M.A. Özarslan, Two-parameter Srivastava polynomials and several series identities, Adv. Difference Equ., article no: 81 (2013), 9 pages.
H.M. Srivastava, M.A. Özarslan and C. Kaanoğlu, Some generalized Lagrange-based ApostolBernoulli, Apostol-Euler and Apostol-Genocchi polynomials, Russ. J. Math. Phys., 20 (1) (2013), 110-120.
M.A. Özarslan, A-statistical convergence of Mittag-Leffler operators, Miscolc Math. Notes, 14 (1) (2013), 209-217.
M.A. Özarslan and H. Aktuğlu, Local approximation properties for certain King type operators, Filomat, 27 (1) (2013), 173-181.
H. Aktuğlu and M.A. Özarslan, On the Solvability of Caputo q-Fractional boundary value problem involving p-Laclacian operators, Abstract and Applied Analysis, article no: 658617, (2013), 8 pages.
M.A. Özarslan and H. Aktuğlu, Quantative global estimates for generalized double Szas-Mirakjan operators, J. Appl. Math., article no:613258 (2013), 8 pages.
B. Yılmaz and M.A. Özarslan, Differential equations for the extended 2D Bernoulli and Euler Polynomials, Adv. Difference Equ., article no: 107 (2013), 16 pages.
M.A. Özarslan, Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials, Adv. Difference Equ., article no: 116 (2013), 13 pages.
M.A. Özarslan and M. Bozer, Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties, Adv. Difference Equ., article no: 55 (2013), 14 pages.
S. Gaboury, M.A. Özarslan and R. Tremblay, Some bilateral generating functions involving the Chan-Chyan-Srivastava polynomials and some general classes of multivariable polynomials, Commun. Korean Math. Soc., 28 (4) (2013), 783-797.
T. Vedi, M.A. Özarslan: Some Properties of q-Bernstein-Schurer operators, J. Applied Functional Analysis, 8 (1) (2013), 45-53 .
M.A. Özarslan, Some remarks on extended hypergeometric, extended confluent hypergeometric and extended Appell's functions, J. Comput. Anal. Appl., 14 (6) (2012), 1148-1153.
Z. Ünal, M.A. Özarslan and O. Duman, Approximation properties of real and complex Post-Widder operators based on q-integers, Miskolc Math. Notes, 13 (2) (2012), 581-603. 5
M.A. Özarslan and H. Aktuğlu, A-statistical approximation of generalized Szász-Mirakjan-Beta operators, Appl. Math. Lett., 24 (11) (2011), 1785-1790.
C. Kaanoğlu and M.A. Özarslan, New families of generating functions for certain class of threevariable polynomials, Appl. Math. Comput., 218 (3) (2011), 836-842.
M.A. Özarslan, Some families of generating functions for the extended Srivastava polynomials, Appl. Math. Comput., 218 (3) (2011), 959-964.
M.A. Özarslan, Unified Apostol-Bernoulli, Euler and Genocchi polynomials, Comput. Math. Appl., 62 (6) (2011), 2452-2462.
C. Kaanoğlu and M.A. Özarslan, Two-sided generating functions for certain class of r-variable polynomials, Math. Comput. Modelling, 54 (1-2) (2011), 625-631.
E. Özergin, M.A. Özarslan and A. Altın, Extension of gamma, beta and hypergeometric functions, J. Comput. Appl. Math., 235 (16) (2011), 4601-4610.
C. Kaanoğlu and M.A. Özarslan, Some properties of generalized multiple Hermite polynomials, J. Comput. Appl. Math., 235 (16) (2011), 4878-4887.
Nazım I. Mahmudov, M.A. Özarslan and P. Sabancıgil, I-approximation properties of certain class of linear positive operators, Studia Sci. Math. Hungar., 48 (2) (2011), 205-219.
M.A. Özarslan and C. Kaanoğlu, Multilateral generating functions for classes of polynomials involving multivariable Laguerre polynomials, J. Comput. Anal. Appl., 13 (4) (2011), 683-691.
M.A. Özarslan, O. Duman and Nazım I. Mahmudov, Local approximation properties of modified Baskakov operators, Results in Math., 59 (1-2) (2011), 1-11.
O. Duman and M.A. Özarslan, Global approximation results for modified Szász-Mirakjan operators, Taiwanese J. Math., 15 (1) (2011), 75-86.
M.A. Özarslan, q-Szász Schurer operators, Miskolc Math. Notes, 12 (2) (2011), 225-235.
H. Aktuğlu, M.A. Özarslan and O. Duman, Matrix summability methods on the approximation of multivariate q-MKZ operators, Bull. Malays. Math. Sci. Soc., 34 (3) (2011), 465-474.
H. Aktuğlu, and M.A. Özarslan, Korovkin type approximation theorem for BBH type operators via I - convergence, Math. Slovaca, 60 (6) (2010), 865-876.
M.A. Özarslan and E. Özergin, Some generating relations for extended hypergeometric functions via generalized fractional derivative operator, Math. Comput. Modelling, 52 (9-10) (2010), 1825-1833.
S. Zorlu, H. Aktuglu and M.A. Özarslan, An estimation to the solution of an initial value problem via q-Bernstein polynomials, J. Comput. Anal. Appl., 12 (3) (2010), 637–645. 6
55) M.A. Özarslan, E. Özergin and C. Kaanoğlu, Multilateral generating functions for the multiple Laguerre and multiple Hermite polynomials. J. Comput. Anal. Appl., 12 (3) (2010), 667–677.
M.A. Özarslan, O. Duman and C. Kaanoğlu, Rates of convergence of certain King-type operators for functions with derivative of bounded variation, Math. Comput. Modelling, 52 (1-2) (2010), 334-345.
H. Karslı and M.A. Özarslan, Direct Local and global approximation results for operators of gamma type., Hacet. J. Math. Stat., 39 (2) (2010), 241-253.
M.A. Özarslan and O. Duman, Global approximation properties of modified SMK operators, Filomat, 24 (1) (2010), 47-61.
O. Duman, M. A. Özarslan and E. Erkuş-Duman, Rates of ideal convergence for approximation operators., Mediterr. J. Math., 7 (1) (2010), 111-121.
H.M. Srivastava, M.A. Özarslan and C. Kaanoğlu, Some families of generating functions for a certain class of three-variable polynomials, Integral Transforms Spec. Func., 21 (12) (2010), 885-896.
H. Aktuğlu, M.A. Özarslan, H. Gezer, A-equistatistical convergence of positive linear operators, J. Comput. Anal. Appl., 12 (1) (2010), 24-36.
M.A. Özarslan and O. Duman, Local approximation behavior of modified SMK operators, Mıscolc Mathematical Notes, 11(1) (2010), 87-99.
E. Özergin, M.A. Özarslan and H.M. Srivastava, Some families of generating functions for a class of bivariate polynomials, Math. Comput. Modelling, 50 (7-8) (2009), 1113-1120.
M.A. Özarslan and O. Duman, Approximation theorems by Meyer-König and Zeller type operators, Chaos, Solitons & Fractals., 41 (1) (2009), 451-456.
M. A. Özarslan, I-convergence theorems for a class of k-positive linear operators, Central European Journal of Mathematics, 7 (2) (2009), 357-362.
M.A. Özarslan, O. Duman, B. Della Vecchia, Modified Szasz-Mirakjan-Kantorovich operators preserving linear functions, Turkish J. Math., 33 (2) (2009), 151-158.
M.A.Özarslan and O. Duman, A new approach in obtaining a better estimation in approximation by positive linear operators, Commun. Fac. Sci. Univ. Ank. Sér. A1 Math. Stat., 58 (1) (2009), 17-22.
M.A. Özarslan, O. Duman and H.M. Srivastava, Statistical approximation results for Kantorovichtype operators involving some special polynomials, Math. Comput. Modelling, 48 (3-4) (2008), 388-401.
M.A. Özarslan and O. Duman, Approximation properties of Poisson integrals for orthogonal expansions, Taiwanese J. Math., 12 (5) (2008), 1147 – 1163.7
M. A. Özarslan, H. Aktuğlu, Local approximation properties of certain class of linear positive operators via I-convergence, Central European Journal of Mathematics, 6 (2) (2008), 281-286.
M.A. Özarslan and O. Duman, Local approximation results for Szasz-Mirakjan type operators, Archiv Der Math., 90 (2) (2008), 144-149.
O. Duman, M.A. Özarslan and H. Aktuğlu, Better error estimation for Szasz-Mirakjan-Beta operators, J. Comput. Anal. Appl., 10 (1) (2008), 53-59.
O. Duman and M. A. Özarslan, Szasz-Mirakjan type operators providing a better error estimation, Applied Math. Letters., 20 (12) (2007), 1184-1188.
M. A. Özarslan and O. Duman, MKZ type operators providing a better estimation on [1/2,1), Canadian Math. Bull., 50 (3) (2007), 434-439.
M.A. Özarslan, q-Laguerre type linear positive operators, Stud. Sci. Math. Hungarica, 44 (1) (2007),65-80.
A. Altın, E. Erkuş and M.A. Özarslan, Families of linear generating functions for polynomials in two variables, Integral Transforms and Special Functions, 17 (5) (2006), 315-320.
O. Duman, M. A. Özarslan, O. Doğru, On integral type generalizations of positive linear operators, Studia Math. 174 (1) (2006), 1-12.
M. A. Özarslan, O. Duman and O. Doğru, A-Statistical convergence for a class of positive linear operators, Rev. Anal. Numer. Theor. Approx., 35 (2) (2006), 161-172.
M. A. Özarslan, O. Duman and O. Doğru, Rates of A-statistical convergence of approximating operators, Calcolo, 42 (2) (2005), 93-104.
M. A. Özarslan and A. Altin, Some families of generating functions for the multiple orthogonal polynomials associated with modified Bessel K- functions, J. of Math. Anal. Appl., 297 (1) (2004),186-193 .
O. Doğru, M.A. Özarslan, F. Taşdelen, On positive operators involving a certain class of generating functions, Stud. Sci. Math. Hungarica, 41 (4)(2004), 415-429.

Projects

Type B (Supported by Ministry of National Education and Culture), Project Title: New Techniques for Finding Generating Function, Principle Investigator: Mehmet Ali Özarslan, Investigator: Emine Özergin (April 2009- 2011)
Type A (Supported by Eastern Mediterranean University), Project Title: q-Parametric Positive Linear Operators , Principle Investigator: Nazım Mahmudov , Investigators: Mehmet Ali Özarslan, Pembe Sabancıgil (September 2007- 2009)
Type B (Supported by Ministry of National Education and Culture), Project Title: Solution of Initial value problem by q-Meyer-König-Zeller operators, Principle Investigator: Nazım Mahmudov, Investigators: Mehmet Ali Özarslan, Hüseyin Aktuğlu (November 2007- January2009)

Conference Presentations

M.A. Özarslan, Hermite-based unified Apostol-Bernoulli, Euler and Genocchi Polynomials,‘International Congress in Honour of Professor Hari M. Srivastava’, Uludağ University, Bursa-Turkey, August 23-26, 2012.
M.A. Özarslan, B. Yılmaz, A set of Finite Order Differental Equations for the Appell Polynomials, ‘ International Congress on Computational and Applied Mathematics’ – ICCAM 2012, Gent-Belgium, July 09-13, 2012.
M.A. Özarslan, Apostol-Lagrange-Bernoulli and Apostol-Lagrange-Euler polynomials, Intenational Conference on Applied Mathematics and Algebra, İstanbul-Turkey, June 29-July 2, 2011.
M. A. Özarslan, Some Families of Generating Functions for the Extended Srivastava Polynomials, ‘International Congress in Honour of Professor H. M. Srivastava on his 70th Birth Anniversary’, Bursa-Turkey, August 18-21, 2010.
A. Altın, O. Doğru and M. A. Özarslan, On the Approximation Properties of Bivariate Bleimann, Butzer and Hahn Operators ‘WSEAS VIII. International Conference on Applied Mathematics’, Tenerife-Spain, December 16-18, 2005.
A. Altın, O. Doğru and M. A. Özarslan, Rates of Convergence of Meyer-König and Zeller Operatos Based on q-Integers, ‘WSEAS VIII. International Conference on Applied Mathematics’, Tenerife-Spain, December 16-18, 2005.
A. Altın, O. Doğru and M. A. Özarslan, Kantorovich Type Generalization of Positive Linear Operators, ‘WSEAS VI. International Conference on Applied Mathematics’, Corfu-Greece, August 17-19, 2004.

Prof. Dr. NAZIM MAHMUDOV

MS Thesis

Reger Ibrahim, Thesis title: Riemann-Louiville type FDE, M.Sc. completed: 2016
Ojo Gbenga Olayinka, Thesis title: Adomian's Decomposition of Multi-Order Fractional, Differential Equations, M.Sc. completed: 2016
Hogir Ageed Khaleel, Thesis title: On Fractional Differential Equations, M.Sc. completed: 2015
Abdullah Hasan Jangeer , Thesis title: Fractional Integral Inequalities of Gronwall Type, M.Sc. completed: 2015
Sevda Isiktas, Thesis title: Controllability of linear deterministic systems, M.Sc. completed: 1997
Verda Peyker, Thesis title: Linear retarded differential equations, M.Sc. completed: 2000
Ceren Mirillo, Thesis title: Linear retarded differential equations, M.Sc. completed: 2004
Umut Yolsal, Thesis title: The Gauge Integral, MSc completed: 2004
Mustafa Kara, Thesis title: The Calculus of Time Scales, M.Sc. completed: 2005
Benan Gencsu, Thesis title: Inequalities on Time Scales, M.Sc. completed: 2005
Havva Kafaoglu, Thesis title: Differential Equations on Time Scales, M.Sc. completed: 2006

PhD Thesis

SEDEF SULTAN EMIN, Thesis Title: Existence Results for Boundary Value Problems of Fractional Type, Differential Equations, Ph.D. completed in June 2019, EMU
AREEN SABER SALAH AL-KHATEEB, Thesis Title: Stability, Existence and Uniqueness of Boundary Value Problems for a Coupled System of Fractional Differential Equations, Ph.D. completed in June 2019, EMU
SAMEER HASSAN SALEEH BAWA`NEH, Thesis Title: Computational Numerical Solution Algorithm for Fractional Differential Equations, Ph.D. completed in June 2019, EMU
Muath Awadalla, Thesis Title: Fractional Differential Equations with Fractional Boundary Conditions, Ph.D. completed in February 2018, EMU
Bilal Sami, Thesis Title: Fractional Differential Equations with Fractional Boundary Conditions, Ph.D. completed in February 2018, EMU
Helal Mahmoud, Thesis Title: Fractional Differential Equations with Fractional Boundary Conditions, Ph.D. completed in June 2016, EMU
Mohammad Momenzadeh, Thesis Title: A Comprehensive Study On q-Polynomials, Ph.D. completed in February 2016, EMU
Sinem Unul, Thesis Title: On a Class Fractional Differential Equations, Ph.D. completed in February 2016, EMU
Marzieh Eini Keleshteri, Thesis Title: Comprehensive Study On The Class Of q-Appell Polynomials, Ph.D. completed in July 2015, EMU
Afet Oneren, Thesis Title: Q-polynomials, Ph.D. completed in October 2014, EMU
Mustafa Kara, Thesis Title: Generalized Kantorovich type Operators, Ph.D. completed in January 2011, EMU
Havva Kaffaoglu, Thesis Title: Phillips type Operators Based on q-integers, Ph.D. completed in May 2011, EMU
Pembe Sabancigil, Thesis Title: Bernstein type Operators Based on q-integers, Ph.D. completed in May 2009, EMU
Muhammed Mattar, Thesis Title: Controllability of Backward Equations, Ph.D. completed in June 2005, EMU
Sonuc Zorlu, Thesis Title: Controllability of Stochastic Systems, Ph.D. completed in May 2003, EMU
Ali Denker, Thesis Title: Controllability concepts for stochastic control systems, Ph.D. completed in May 2002, EMU

Publications

Journal Papers_indexed in SCI

NI Mahmudov, Necessary First-Order and Second-Order Optimality Conditions in DiscreteTime Stochastic Systems, Journal of Optimization Theory and Applications 2019-09-14 | journalarticle DOI: 10.1007/s10957-019-01478-y
NI Mahmudov, A novel fractional delayed matrix cosine and sine Applied Mathematics Letters 2019-06 | journal-article DOI: 10.1016/j.aml.2019.01.001
NI Mahmudov, Representation of solutions of discrete linear delay systems with non permutable matrices Applied Mathematics Letters 2018, 85, 8-14
Mahmudov, N. I. Asymptotic properties of powers of linear positive operators which preserve e2. Comput. Math. Appl. 62 (2011), no. 12, 4568–4575.
Sakthivel, R.; Ren, Yong; Mahmudov, N. I. On the approximate controllability of semilinear fractional differential systems. Comput. Math. Appl. 62 (2011), no. 3, 1451–1459.
Mahmudov, N. I. q-Szász-Mirakjan operators which preserve x2. J. Comput. Appl. Math. 235 (2011), no. 16, 4621–4628.
Mahmudov, N. I. Approximation by Bernstein-Durrmeyer-type operators in compact disks. Appl. Math. Lett. 24 (2011), no. 7, 1231–1238.
Mahmudov, N. I., Approximation properties of complex q-Szász-Mirakjan operators in compact disks. Comput. Math. Appl. 60 (2010), no. 6,1784–1791.
Mahmudov, N. I., Convergence properties and iterations for q-Stancu polynomials in compact disks. Comput. Math. Appl. 59 (2010), no. 12, 3763–3769.
Mahmudov, N. I., Approximation theorems for certain positive linear operators. Appl. Math. Lett. 23 (2010), no. 7, 812–817.
Sakthivel, R.; Mahmudov, N. I.; Lee, Sang-Gu Controllability of non-linear impulsive stochastic systems. Internat. J. Control 82 (2009), no. 5, 801--807.
Sakthivel, R.; Mahmudov, N. I.; Kim, J. H. On controllability of second order nonlinear impulsive differential systems. Nonlinear Anal. 71 (2009), no. 1-2, 45--52.
Mahmudov, Nazim I. Approximate controllability of evolution systems with nonlocal conditions. Nonlinear Anal. 68 (2008), no. 3, 536--546.
Mahmudov, N. I.; McKibben, M. A. On backward stochastic evolution equations in Hilbert spaces and optimal control. Nonlinear Anal. 67 (2007), no. 4, 1260--1274.
Bashirov, A. E.; Mahmudov, N.; \c Semi, N.; Etikan, H. Partial controllability concepts. Internat. J. Control 80 (2007), no. 1, 1--7.
Dauer, J. P.; Mahmudov, N. I.; Matar, M. M. Approximate controllability of backward stochastic evolution equations in Hilbert spaces. J. Math. Anal. Appl. 323 (2006), no. 1, 42--56.
Mahmudov, N. I.; Zorlu, S. Controllability of semilinear stochastic systems. Internat. J. Control 78 (2005), no. 13, 997--1004.
Dauer, J. P.; Mahmudov, N. I. Integral inequalities and mild solutions of semilinear neutral evolution equations. J. Math. Anal. Appl. 300 (2004), no. 1, 189--202.
Dauer, J. P.; Mahmudov, N. I. Controllability of some nonlinear systems in Hilbert spaces. J. Optim. Theory Appl. 123 (2004), no. 2, 319--329.
Dauer, J. P.; Mahmudov, N. I. Exact null controllability of semilinear integrodifferential systems in Hilbert spaces. J. Math. Anal. Appl. 299 (2004), no. 2, 322--332.
Dauer, J. P.; Mahmudov, N. I. Controllability of stochastic semilinear functional differential equations in Hilbert spaces. J. Math. Anal. Appl. 290 (2004), no. 2, 373--394.
Mahmudov, Nazim I. Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces. SIAM J. Control Optim. 42 (2003), no. 5, 1604--1622.
Mahmudov, Nazim I. Controllability of semilinear stochastic systems in Hilbert spaces. J. Math. Anal. Appl. 288 (2003), no. 1, 197--211.
Mahmudov, N. I.; Zorlu, S. Controllability of non-linear stochastic systems. Internat. J. Control 76 (2003), no. 2, 95--104.
Dauer, J. P.; Mahmudov, N. I. Approximate controllability of semilinear functional equations in Hilbert spaces. J. Math. Anal. Appl. 273 (2002), no. 2, 310--327.
Mahmudov, Nazim I. Controllability of linear stochastic systems in Hilbert spaces. J. Math. Anal. Appl. 259 (2001), no. 1, 64--82.
Mahmudov, Nazim Idrisoglu Controllability of linear stochastic systems. IEEE Trans. Automat. Control 46 (2001), no. 5, 724--731.
Mahmudov, N. I.; Denker, A. On controllability of linear stochastic systems. Internat. J. Control 73 (2000), no. 2, 144--151.
Bashirov, Agamirza E.; Mahmudov, Nazim I. On concepts of controllability for deterministic and stochastic systems. SIAM J. Control Optim. 37 (1999), no. 6, 1808--1821 (electronic).

Journal Papers in SCIE

NI Mahmudov, Delayed perturbation of Mittag‐Leffler functions and their applications to fractional linear delay differential equations, Mathematical Methods in the Applied Sciences 2019-11-15 | journal-article DOI: 10.1002/mma.5446
NI Mahmudov, S Emin, Fractional-order boundary value problems with Katugampola fractional integral conditions, Advances in Difference Equations 2018 (1), 81
NI Mahmudov, Partial-approximate controllability of nonlocal fractional evolution equations via approximating method Applied Mathematics and Computation 334, 227-238
NI Mahmudov, Finite-approximate controllability of fractional evolution equations: variational approach Fractional Calculus and Applied Analysis 21 (4), 919-93
SG Gal, NI Mahmudov, BD Opris, Approximation with an Arbitrary Order by Szasz, SzaszKantorovich and Baskakov Complex Operators in Compact Disks Azerbaijan Journal of Mathematics-Print ISSN: 2218-6816, Online ISSN: 2221
NI Mahmudov, M Awadalla, K Abuassba, Nonlinear sequential fractional differential equations with nonlocal boundary conditions Advances in Difference Equations 2017 (1), 319
NI Mahmudov, H Mahmoud, Four-point impulsive multi-orders fractional boundary value problems J. Comput. Anal. Appl 22 (7), 1249-1260
NI Mahmudov, R Murugesu, C Ravichandran, V Vijayakumar, Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces Results in Mathematics 71 (1-2), 45-61
N Mahmudov, MM Matar, EXISTENCE OF MILD SOLUTION FOR HYBRID DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS 8 (2), 160-169
NI Mahmudov, Finite-approximate controllability of evolution equations, Appl. Comput. Math 16 (2), 159-167
R Sakthivel, Y Ren, A Debbouche, NI Mahmudov Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions Applicable Analysis 95 (11), 2361-2382
NI Mahmudov, V Vijayakumar, R Murugesu, Approximate controllability of second-order evolution differential inclusions in Hilbert spaces Mediterranean Journal of Mathematics 13 (5), 3433-3454
N Mahmudov, Approximation Properties of the q-Balázs–Szabados Complex Operators in the Case q≥1, Computational Methods and Function Theory 16 (4), 567–583
NI Mahmudov, MA Mckibben, ON APPROXIMATELY CONTROLLABLE SYSTEMS Appl. Comput. Math 15 (3), 247-264
MJ Mardanov, NI Mahmudov, YA Sharifov, Existence and uniqueness results for q-fractional difference equations with p-Laplacian operators Advances in Difference Equations 2015 (1), 185
NI Mahmudov, M Kara, Approximation properties of weighted Kantorovich type operators in compact disks Journal of Inequalities and Applications 2015 (1), 46
Mardanov, Misir J; Malik, Samin T; Mahmudov, Nazim I; On the theory of necessary optimality conditions in discrete systems. Adv. Difference Equ. 2015, 2015:28.
Mahmudov, Nazim I; Kara, Mustafa; Approximation properties of weighted Kantorovich type operators in compact disks. J. Inequal. Appl. 2015, 2015:46.
Mahmudov, Nazim I. Difference equations of q-Appell polynomials. Appl. Math. Comput. 245 (2014), 539–543
Ganesh, Ramakrishnan; Sakthivel, Rathinasamy; Mahmudov, Nazim I. Approximate controllability of fractional functional equations with infinite delay. Topol. Methods Nonlinear Anal. 43 (2014), no. 2, 345–364.
Mahmudov, N. I.; Unul, S. Existence of solutions of α∈(2,3]order fractional three-point boundary value problems with integral conditions. Abstr. Appl. Anal. 2014, Art. ID 198632, 12 pp.
Mahmudov, Nazim I.; Keleshteri, Marzieh Eini q-extensions for the Apostol type polynomials. J. Appl. Math. 2014, Art. ID 868167, 8 pp.
Mahmudov, N. I.; Momenzadeh, M. On a class of q-Bernoulli, q-Euler, and q-Genocchi polynomials. Abstr. Appl. Anal. 2014, Art. ID 696454, 10 pp.
Mahmudov, N. I.; Gupta, Vijay Approximation by complex q-Durrmeyer polynomials in compact disks. Acta Math. Appl. Sin. Engl. Ser. 30 (2014),no. 1, 65–74.
Mahmudov, N. I.; Akkeleş, A.; Öneren, A. On a class of two dimensional (w,q)-Bernoulli and (w,q)-Euler polynomials: properties and location of zeros. J. Comput. Anal. Appl. 16 (2014), no. 2, 282–292.
Gal, Sorin G.; Mahmudov, Nazim I.; Kara, MustafaApproximation by complex q-SzászKantorovich operators in compact disks, q>1.Complex Anal. Oper. Theory 7 (2013), no. 6, 1853–1867.
Mahmudov, Nazim Idrisoglu q-Szász operators which preserve x2. Math. Slovaca 63 (2013), no.5, 1059–1072.
Ganesh, R.; Sakthivel, R.; Ren, Yong; Anthoni, S. M.;Mahmudov, N. I. Controllability of neutral fractional functional equations with impulses and infinite delay. Abstr. Appl. Anal. 2013, Art. ID 901625, 12 pp.
Mahmudov, N. I. Asymptotic properties of iterates of certain positive linear operators. Math. Comput. Modelling 57 (2013), no. 5-6, 1480–1488.
Mahmudov, N. I.; Zorlu, S. Approximate controllability of fractional integro-differential equations involving nonlocal initial conditions. Bound. Value Probl. 2013, 2013:118, 16 pp.
Mahmudov, Nazim I.; Keleshteri, M. Eini On a class of generalized q-Bernoulli and q-Euler polynomials. Adv. Difference Equ. 2013,2013:115, 10 pp.
Mahmudov, N. I.; Kara, M. Approximation theorems for complex Szász-Kantorovich operators. J. Comput. Anal. Appl. 15 (2013), no. 1, 32–38.
Ganesh, R.; Sakthivel, R.; Mahmudov, N. I.; Anthoni, S. M.Approximate controllability of fractional integrodifferential evolution equations. J. Appl. Math. 2013, Art. ID 291816, 7 pp.
Mahmudov, Nazim I. On a class of q-Bernoulli and q-Euler polynomials. Adv. Difference Equ. 2013,2013:108, 11 pp.
Mahmudov, N. I. Approximate controllability of fractional Sobolev-type evolution equations in Banach spaces. Abstr. Appl. Anal. 2013, Art. ID 502839, 9 pp.
Sakthivel, R.; Revathi, P.; Mahmudov, N. I. Asymptotic stability of fractional stochastic neutral differential equations with infinite delays.Abstr. Appl. Anal. 2013, Art. ID 769257, 9 pp.
Mahmudov, N. I.; Şemi, N. Approximate controllability of semilinear control systems in Hilbert spaces. TWMS J. Appl. Eng. Math. 2 (2012), no. 1, 67–74.
Mahmudov, N. I. Approximation by the q-Szász-Mirakjan operators. Abstr. Appl. Anal. 2012, Art. ID 754217, 16 pp.
Mahmudov, Nazim I. Approximation properties of bivariate complex q-Bernstein polynomials in the case q>1. Czechoslovak Math. J. 62(137)(2012), no. 2, 557–566.
Mahmudov, N. I. q-analogues of the Bernoulli and Genocchi polynomials and the SrivastavaPintér addition theorems. Discrete Dyn. Nat. Soc.2012, Art. ID 169348, 8 pp.
Mahmudov, Nazim; Gupta, Vijay; Kaffaoğlu, Havva On certainq-Phillips operators. Rocky Mountain J. Math. 42 (2012), no. 4, 1291–1312.
Mahmudov, N. I.; Kara, M. Approximation theorems for generalized complex Kantorovich-type operators. J. Appl. Math. 2012, Art. ID 454579, 14 pp.
Mahmudov, Nazim Idrisoglu; Sabancigil, Pembe Voronovskaja type theorem for the Lupaş qanalogue of the Bernstein operators. Math. Commun.17 (2012), no. 1, 83–91.
Sakthivel, R.; Mahmudov, N. I.; Nieto, Juan. J. Controllability for a class of fractional-order neutral evolution control systems. Appl. Math. Comput.218 (2012), no. 20, 10334–10340.
Mahmudov, N. I.; Gupta, Vijay Approximation by genuine Durrmeyer-Stancu polynomials in compact disks. Math. Comput. Modelling 55(2012), no. 3-4, 278–285.
Gal, Sorin G.; Gupta, Vijay; Mahmudov, Nazim I.Approximation by a complex q-Durrmeyer type operator. Ann. Univ. Ferrara Sez. VII Sci. Mat. 58 (2012), no. 1, 65–87.
Mahmudov, Nazim; Sabancigil, Pembe A q-analogue of the Meyer-König and Zeller operators. Bull. Malays. Math. Sci. Soc. (2) 35 (2012), no. 1,39–51.
Mahmudov, Nazim Idrisoglu; Özarslan, Mehmet Ali;Sabancigil, Pembe I-approximationproperties of certain class of linear positive operators. Studia Sci. Math. Hungar. 48 (2011), no. 2, 205–219.
Mahmudov, Nazim; Gupta, Vijay On certain q-analogue of Szász Kantorovich operators. J. Appl. Math. Comput. 37 (2011), no. 1-2, 407–419.
Mahmudov, N. I. Higher order limit q-Bernstein operators. Math. Methods Appl. Sci. 34 (2011), no. 13, 1618–1626.
Sakthivel, R.; Mahmudov, N. I.; Ren, Yong Approximate controllability of the nonlinear thirdorder dispersion equation. Appl. Math. Comput.217 (2011), no. 21, 8507–8511.
Mahmudov, N. I. Approximation by genuine q-Bernstein-Durrmeyer polynomials in compact disks. Hacet. J. Math. Stat. 40 (2011),no. 1, 77–89.
Özarslan, M. Ali; Duman, Oktay; Mahmudov, N. I. Local approximation properties of modified Baskakov operators. Results Math. 59 (2011),no. 1-2, 1–11.
Sakthivel, R.; Nieto, Juan J.; Mahmudov, N. I. Approximate controllability of nonlinear deterministic and stochastic systems with unbounded delay. Taiwanese J. Math. 14 (2010), no. 5, 1777–1797.
Mahmudov, N. I., Approximation properties of complex q-Szász-Mirakjan operators in compact disks. Comput. Math. Appl. 60 (2010), no. 6,1784–1791.
Mahmudov, N. I., Convergence properties and iterations for q-Stancu polynomials in compact disks. Comput. Math. Appl. 59 (2010), no. 12, 3763–3769.
Mahmudov, N. I., Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers. Cent. Eur. J. Math. 8(2010), no. 4, 816–826.
Mahmudov, N. I.; Sabancigil, P., On genuine q-Bernstein-Durrmeyer operators. Publ. Math. Debrecen 76 (2010), no. 3-4, 465–479.
Mahmudov, N. I.; Kaffaoǧlu, H., On q-Szász-Durrmeyer operators. Cent. Eur. J. Math. 8 (2010), no. 2, 399–409.
Mahmudov, N. I., The moments for q-Bernstein operators in the case 0<q<1. Numer. Algorithms 53 (2010), no. 4, 439–450.
Mahmudov, N. I.; Sabancigil, P., Some approximation properties of q-parametric BBH operators, Journal of Computational Analysis and Applications, vol. 12, no. 1, pp. 111–123, 2010.
Sakthivel, R.; Mahmudov, N. I.; Lee, Sang-Gu Controllability of non-linear impulsive stochastic systems. Internat. J. Control 82 (2009), no. 5, 801--807.
Mahmudov, Nazim I. Korovkin-type theorems and applications. Cent. Eur. J. Math. 7 (2009), no. 2, 348--356.
Sakthivel, R.; Anandhi, E. R.; Mahmudov, N. I. Approximate controllability of second-order systems with state-dependent delay. Numer. Funct. Anal. Optim. 29 (2008), no. 11-12, 1347-1362.
Mahmudov, N. I.; Sabancigil, P. q-parametric Bleimann Butzer and Hahn operators. J. Inequal. Appl. 2008, Art. ID 816367, 15 pp.
Samoilenko, A. M.; Mahmudov, N. I.; Stanzhitskii, A. N. Existence, uniqueness, and controllability results for neutral FSDES in Hilbert spaces. Dynam. Systems Appl. 17 (2008), no.1, 53--70.
Sakthivel, R.; Mahmudov, N. I.; Nieto, Juan. J.; Kim, J. H. On controllability of nonlinear impulsive integrodifferential systems. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 15 (2008), no. 3, 333--343.
Mahmudov, Nazim I. Approximate controllability of evolution systems with nonlocal conditions. Nonlinear Anal. 68 (2008), no. 3, 536--546.
Mahmudov, Nazim I.; McKibben, Mark A. On a class of backward McKean-Vlasov stochastic equations in Hilbert space: existence and convergence properties. Dynam. Systems Appl. 16 (2007), no. 4, 643--664.
Samoilenko, A. M.; Mahmudov, N. I.; Stanzhitskii, A. N. The averaging method and two-sided bounded solutions of stochastic Itô systems. (Russian) Differ. Uravn. 43 (2007), no. 1, 52--63,142.
Sakthivel, R.; Mahmudov, N. I.; Kim, J. H. Approximate controllability of nonlinear impulsive differential systems. Rep. Math. Phys. 60 (2007), no. 1, 85--96.
Bashirov, A. E.; Mahmudov, N.; \c Semi, N.; Etikan, H. Partial controllability concepts. Internat. J. Control 80 (2007), no. 1, 1--7.
Sakthivel, R.; Kim, J.-H.; Mahmudov, N. I. On controllability of nonlinear stochastic systems. Rep. Math. Phys. 58 (2006), no. 3, 433--443.
Mahmudov, N. I.; McKibben, M. A. Approximate controllability of second-order neutral stochastic evolution equations. Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 13 (2006), no. 5, 619--634.
Mahmudov, N. I.; McKibben, M. A. Abstract second-order damped McKean-Vlasov stochastic evolution equations. Stoch. Anal. Appl. 24 (2006), no. 2, 303--328.
Mahmudov, N. I. Existence and uniqueness results for neutral SDEs in Hilbert spaces. Stoch. Anal. Appl. 24 (2006), no. 1, 79--95.
Dauer, J. P.; Mahmudov, N. I. Remark on existence result for second order evolution equations in Banach spaces. Int. J. Pure Appl. Math. 12 (2004), no. 4, 471--482.
Dauer, J. P.; Mahmudov, N. I. Controllability of stochastic semilinear functional differential equations in Hilbert spaces. J. Math. Anal. Appl. 290 (2004), no. 2, 373--394.
Mahmudov, Nazim Controllability and observability of linear stochastic systems in Hilbert spaces. Stochastic analysis and related topics VIII, 151--167, Progr. Probab., 53, Birkhäuser, Basel, 2003.
Mahmudov, Nazim I. Controllability of semilinear stochastic systems in Hilbert spaces. J. Math. Anal. Appl. 288 (2003), no. 1, 197--211.
Mahmudov, N. I.; Zorlu, S. Approximate controllability of semilinear neutral systems in Hilbert spaces. J. Appl. Math. Stochastic Anal. 16 (2003), no. 3, 233--242.
Mahmudov, Nazim I. On controllability of semilinear stochastic systems in Hilbert spaces. IMA J. Math. Control Inform. 19 (2002), no. 4, 363--376.
Mahmudov, N. I. The maximum principle for stochastic evolution systems in Hilbert spaces. Int. J. Pure Appl. Math. 2 (2002), no. 3, 287--298.

Projects

Conference Presentations

Assist. Prof. Dr. ARİF AKKELEŞ

MS Thesis

Hülya Demez ‘Solution Techniques for Travelling Salesman Problem(TSP)’
Sarwar Hamad ‘ Cross entropy method for Travelling Salesman Problem(TSP) ’

PhD Thesis

Stenly Onye ‘Biomedical Relation Extraction’, November 2019.
Afet Öneren Bahtıkara ‘q-Polynomialsand Location of Their Zeros’, 2014

Publications

Akkeles A.A., Balogh L., Illés T., "New variants of the criss-cross method for linearly constrained, convex quadratic programming", European Journal of Operations Research, vol.157, no.1, pp.74 - 86, 2004.
N.I. Mahmudov, A. Akkeleș, and A. Öneren,” On a class of Two Dimensional (w,q)-Bernoulli and (w,q)-Euler Polynomials: Properties and Location of Zeros”, Journal Of Computational Analysis And Applications., Vol. 16, No. 2, 2014
N. I. Mahmudov, A. Akkele¸s and A. Öneren, "On two Dimensional q-Bernoulli and q-Genocchi Polynomials: Properties and location of zeros", Journal Of Computational Analysis And Applications, Volume: 18 Issue: 5 Pages: 834-843, MAY 2015
Stanly Onye, Arif Akkeleş, Nazife Dimilliler, ‘A Sysstem for Exracting Chemical-İnduced Disease Realtion From Biomedical Literature’, Journal of Biomedical Informatics, vol 87, p 79-87, 2018
Akkeles A.A., Balogh L., Illés T., "New variants of the criss-cross method for linear complementarily problems with bisymmetric matrices", Alkalmaz. Mat Lapok, vol.21, no.1, pp.35-59, 2004
Stenly Onye, Arif Akkeleş, Nazife Dimilliler, ‘ Review of Biomedical Relation Extractions’ , European International Journal of Science and Technology, Vol 6 , No 1, January 2017.
Nagy, B., Akkeles, A., “Trajectories and Traces on Non-traditional Regular Tessellations of the Plane”. Lecture Notes in Computer Science, Volume: 10256 Pages: 16-29, June 2017
Akkeles A.A., Balogh L., Illés T., "New variants of the criss-cross method for linear complementarily problems with bisymmetric matrices", Alkalmaz. Mat Lapok, vol.21, no.1, pp.35-59, 2004
Stenly Onye, Arif Akkeleş, Nazife Dimilliler, ‘ Review of Biomedical Relation Extractions’ , European International Journal of Science and Technology, Vol 6 , No 1, January 2017.

Projects

Conference Presentations

Illés T., Akkeles A.A., "Generalizations of Zhang`s criss-cross Algorithm for LCP", EURO XVII Conference,Budapest, Hungary, pp.38 - , 2000
Illés T., Akkeles A.A., “ An Optical Problem", EURO XVIII Conference, July 9-11 2001, Roterdam, Netherland.
Akkeles A.A. Unveren A.," A Survay and New Applications on Quadratic Assignment Problem", 17th MINI-EURO CONFERENCE on Continuous Optimization in Industry, Pecs, Hungary, June 29-July 1, 2005.
Akkeles A., Unveren A., Acan A., "A fresh view: Quadratic Assignment Problem", 5th international Conferance on Computational Mechanics (GRACM05), Limasol, Cyprus, vol.2, pp.737 - 745, 2005
Çelebi B., Bitirim Y. and A. Akkeles, “Effectiveness of Database Connections on Query Retrieval Time Mobile Communication (ICWMC), pp. 25, IEEE Computer Society, Bugeresti, Romania, 2006
Afet Oneren, Arif Akkeles, Filiz Bilen, “Combinatorial optimization and Cross Etropy Method" VOCAL 2010, The Veszprém Optimization Conference: Advanced Algorithms, Veszprém, Hungary, December 13-15, 2010
Afet Oneren, Arif Akkeles, “Cross-Entropy Method for Combinatorial Optimization Problems", “International Conference On Applied Analysis And Algebra (ICAAA2011)", 29-30 June and 1-2 July 2011 in Istanbul, Turkey

Assist. Prof. Dr. MUSTAFA KARA

MS Thesis

The Generalized Incomplete Gamma Functions

Bézier curves based on Lupaş q- analogue of Bernstein operator.

PhD Thesis

Publications

N. MAhmudov, M. Kara, Approximation Theorems for Generalized Complex Kantorovich-type Operators., Journal of Applied Mathematics, Volume 2012 (2012), Article ID 454579, 14 pages
Gal, S.G., N. MAhmudov, M. Kara, Approximation Theorems by Complex q-Szasz-Kantorovih Operator in a Compact disks q>1. Complex Analysis and Operator Theory, December 2013, Volume 7, Issue 6, pp 1853-1867.
N. MAhmudov, M. Kara, Approximation theorems for complex Szász–Kantorovich operators , Journal of Computational Analysis and Applications, 2013
N. MAhmudov, M. Kara, Approximation properties of weighted Kantorovich type operators in compact disks, Journal of Inequalities and Applications, December 2015, 2015:46
M. Kara, Approximation by q-durrmeyer stancu polynomials in compact disks in the case of q>1, Miskolc Mathematical Note, DOI: 10.18514/MMN.2017.1745
Sabancıgil, P., Kara M. and Mahmudov, N.I., Representation of the Matrix for Conversion between Triangular Bezier Patches and Rectangular Bezier Patches, Journal of Computational Analysis and Applications, accepted for publication

Projects

Conference Presentations

N. Mahmudov, M. Kara, Approximation Properties of weighted Kantoravich Type Operators in a compact Disks, International Congress in Honour of Professor Ravi P. Agarwal, Uludağ Üniversitesi – Bursa 25.06.2014
N. Mahmudov, M. Kara, Approximation Theorems for Generalized Complexs Kantorovich-Type Operators, International Congress in Honour of Professor H. M. Srivastava, Uludağ Üniversitesi – Bursa 26. 08. 2012
Sabancıgil, P. and Kara M., Representation of the Matrix for Conversion between Triangular Bezier Patches and Rectangular Bezier Patches, 3rd International Conference on Computational Mathematics and Engineering Sciences, Girne, Cyprus, (2018).
Sabancıgil, P. , Kara M. and Mahmudov, N.I, Representation of Solutions of Neutral Time Delay Equations and Ulam-Hyers Stability, 8th International Eurasian Conference on Mathematical Sciences and Applications, Baku, Azerbaijan, (2019)

Assist. Prof. Dr. PEMBE SABANCIGİL ÖZDER

MS Thesis

PhD Thesis

Publications

Projects

Conference Presentations

EMU Websites

Approximation Theory

Journal Papers in SCIE

Eastern Mediterranean University