Staff Detail

Prof. Dr. HÜSEYİN AKTUĞLU

Duty: Faculty Member
Department: Mathematics
Office: AS261
Tel: +90 392 630 2447
E-Mail: huseyin.aktuglu@emu.edu.tr

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Research Areas: Approximation Theory, Analysis

Education

2002

PHD

UNIVERSITY, MATEMATİK, EASTERN MEDITERRANEAN UNIVERSITY

1994

MS

UNIVERSITY, MATEMATİK, EASTERN MEDITERRANEAN UNIVERSITY

1992

BS

UNIVERSITY, MATEMATİK,

Publications

SCI- Expanded

Approximations of Caputo fractional order derivatives by ?-Bernstein-Kantorovich operators and simulations on real-world datasets
Hüseyin Aktuğlu;Suzan Cival Buranay
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, (2026)
(?, ?)-Bernstein-Kantorovich operators
HUSEYİN AKTUGLU;MUSTAFA KARA;ERDEM BAYTUNC;SANER FİDAN
DEMONSTRATIO MATHEMATICA, (2025)
Approximation by ?-Baskakov-Kantorovich Operators 3 of 31 Approximation by ?-Baskakov-Kantorovich Operators
MUSTAFA KARA;Hüseyin Aktuglu;Erdem Baytunç
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, (2025)
Modified Szasz-Kantorovich operators with better approximation
HÜSEYİN AKTUGLU;MUSTAFA KARA;ERDEM BAYTUNC
FILOMAT, (2025)
?-Bernstein-Kantorovich operators
MUSTAFA KARA;Hüseyin Aktuğlu;Erdem Baytunç
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, (2025)
Kantorovich Variant of the Blending Type Bernstein Operators
HUSEYİN AKTUGLU;HALİL GEZER;ERDEM BAYTUNC
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, (2024)
APPROXIMATION PROPERTIES OF RIEMANN-LIOUVILLE TYPE FRACTIONAL BERNSTEIN-KANTOROVICH OPERATORS OF ORDER
Baytunç, E;Aktuglu, H;Mahmudov, N
MATHEMATICAL FOUNDATIONS OF COMPUTING, (2024)
Generalized blending type Bernstein operators based on the shape parameter lambda
Gezer, Halil;Aktuglu, Huseyin;Baytunc, Erdem;Atamert, Mehmet Salih
JOURNAL OF INEQUALITIES AND APPLICATIONS, (2022)
APPROXIMATION PROPERTIES OF GENERALIZED BLENDING TYPE LOTOTSKY-BERNSTEIN OPERATORS
Aktuglu, Huseyin;Gezer, Halil;Baytunc, Erdem;Atamert, Mehmet Salih
JOURNAL OF MATHEMATICAL INEQUALITIES, (2022)
On a study of the representation of solutions of a psi-Caputo fractional differential equations with a single delay
Aydin, Mustafa;Mahmudov, Nazim I.;Aktuglu, Huseyin;Baytunc, Erdem;Atamert, Mehmet S.
ELECTRONIC RESEARCH ARCHIVE, (2022)
Approximation of Functions by Generalized Parametric Blending-Type Bernstein Operators
Aktuglu, Huseyin;Zaheriani, S. Yashar
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, (2020)
Korovkin Type Approximation Theorems Proved viaWeighted alpha beta-equistatistical Convergence for Bivariate Functions
Aktuglu, Huseyin;Gezer, Halil
FILOMAT, (2018)
WEIGHTED ?ß-STATISTICAL CONVERGENCE OF KANTOROVICH-MITTAG-LEFFLER OPERATORS
HUSEYİN AKTUGLU;MEHMET ALİ ÖZARSLAN
MATHEMATICA SLOVACA, (2016)
Anti-periodic BVP for Volterra integro-differential equation of fractional order 1 < alpha <= 2, involving Mittag-Leffler function in the kernel
Aktuglu, Huseyin;Ozarslan, Mehmet Ali
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, (2016)
Korovkin type theorem for non-tensor Balazs type Bleimann, Butzer and Hahn operators
Ozarslan, Mehmet Ali;Aktuglu, Huseyin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, (2015)
Korovkin type approximation theorems proved via alpha beta-statistical convergence
Aktuglu, Huseyin;mehmet ali özarslan
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, (2014)
On the Solvability of Caputo q-Fractional Boundary Value Problem Involving p-Laplacian Operator
Aktuglu, Huseyin;Ozarslan, Mehmet Ali
ABSTRACT AND APPLIED ANALYSIS, (2013)
Quantitative Global Estimates for Generalized Double Szasz-Mirakjan Operators
Ozarslan, Mehmet Ali;Aktuglu, Huseyin
JOURNAL OF APPLIED MATHEMATICS, (2013)
Local Approximation Properties for certain King type Operators
Ozarslan, Mehmet Ali;Aktuglu, Huseyin
FILOMAT, (2013)
Solvability of differential equations of order 2 < alpha <= 3 involving the p-Laplacian operator with boundary conditions
Aktuglu, Huseyin;Ozarslan, Mehmet Ali
ADVANCES IN DIFFERENCE EQUATIONS, (2013)
A-statistical approximation of generalized Szasz-Mirakjan-Beta operators
MEHMET ALİ ÖZARSLAN;HUSEYİN AKTUGLU
APPLIED MATHEMATICS LETTERS, (2011)
q-Cesaro matrix and q-statistical convergence
Aktuglu, Huseyin;Bekar, Serife
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, (2011)
Matrix Summability Methods on The Approximation of Multivariate q-MKZ Operators
Aktuglu, Huseyin;Ozarslan, M. Ali;Duman, Oktay
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, (2011)
Korovkin type approximation theorem for BBH type operators via J-convergence
Aktuglu, Huseyin;Ozarslan, Mehmet Ali
MATHEMATICA SLOVACA, (2010)
A-Equistatistical Convergence of Positive Linear Operators
HUSEYİN AKTUGLU;MEHMET ALİ ÖZARSLAN;HALİL GEZER
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, (2010)
Lacunary equi-statistical convergence of positive linear operators
HUSEYİN AKTUGLU;HALİL GEZER
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, (2009)
Local approximation properties of certain class of linear positive operators via I-convergence
MEHMET ALİ ÖZARSLAN;HUSEYİN AKTUGLU
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, (2008)
Better error estimation for Szasz-Mirakjan-Beta operators
OKTAY DUMAN;MEHMET ALİ ÖZARSLAN;HUSEYİN AKTUGLU
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, (2008)
A new construction of random Colombeau distributions
ULUG CAPAR;HUSEYİN AKTUGLU
STATISTICS & PROBABILITY LETTERS, (2001)

SSCI

AN ESTIMATION TO THE SOLUTION OF AN INITIAL VALUE PROBLEM VIA q-BERNSTEIN POLYNOMIALS
Zorlu, Sonuc;Aktuglu, Huseyin;Ozarslan, Mehmet Ali
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, (2010)

Supervised Thesis

PHD

MEHMET SALİH ATAMERT (2025). Generalized Blending Type Operators Based on the Shape Parameter ? .[PhD Thesis ,Eastern Mediterranian University].
ERDEM BAYTUNÇ (2024). Generalized Blending Types Bernstein Operators..[PhD Thesis ,Eastern Mediterranian University].
SEYED YASHAR ZAHERIANI (2021). Generalized Parametric Blending-type Bernstein Polynomials.[PhD Thesis ,Eastern Mediterranian University].
HALİL GEZER (2013). Equistatistical Convergence.[PhD Thesis ,Eastern Mediterranian University].
ŞERİFE BEKAR (2011). Q-matrix Summability Methods.[PhD Thesis ,Eastern Mediterranian University].

MS

MÜNÜRE PAŞA (2021). Prioritizing Market Segmentation Categories for Assessing Online Consumer Behavior in North Cyprus.[Master Thesis ,Eastern Mediterranian University].
GİZEM DAĞBAŞI (2020). Matrix Summability Methods.[Master Thesis ,Eastern Mediterranian University].
ERDEM BAYTUNÇ (2018). Convergent Sequences and Statistical Limit Points.[Master Thesis ,Eastern Mediterranian University].
SAADIA YOUSUF (2016). A-Statistical Convergence.[Master Thesis ,Eastern Mediterranian University].
AYSEL AYGÖREN (2014). Fractional Derivative and Integral.[Master Thesis ,Eastern Mediterranian University].
HANDE KUKUL (2014). ?ß- Statistical Convergence.[Master Thesis ,Eastern Mediterranian University].
HALİL GEZER (2008). Statistical Convergence.[Master Thesis ,Eastern Mediterranian University].
MEHMET KARAY (2005). Fixed Point Theorems and Its Applications.[Master Thesis ,Eastern Mediterranian University].

Books

Ulug Çapar;huseyin aktuglu(2000). Smart Search Results for aktuglu h An overall view of stochastics in Colombeau related algebras 31 of 31 An overall view of stochastics in Colombeau related algebras. Süleyman Üstünel(Ed.),PROGRESS IN PROBABILITY(pp.67-90)., 53

Awards

Psi-Bernstein-Kantorovich operators (2025)
Modified Szasz-Kantorovich operators with better approximation (2025)
(\lambda, \psi)-Bernstein-Kantorovich operators (2025)
Approximation by ?-Baskakov-Kantorovich Operators (2025)
Kantorovich Variant of the Blending Type Bernstein Operators (2024)
Approximation properties of Riemann-Liouville type fractional Bernstein-Kantorovich operators of order $ \alpha $ (2024)
EMU Publication Citation Award (2017)

Research Areas:

Positive linear operators, Korovkin type approximation, Blending type operators, Lototsky Matrices, Summability