## Duman, Oktay

Compute Distance To:
 Author ID: duman.oktay Published as: Duman, Oktay; Duman, O. External Links: MGP · ORCID
 Documents Indexed: 115 Publications since 2003, including 1 Book 7 Contributions as Editor Co-Authors: 39 Co-Authors with 93 Joint Publications 1,358 Co-Co-Authors
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### Co-Authors

 17 single-authored 21 Anastassiou, George Angelos 11 Ozarslan, Mehmet Ali 9 Erkuş-Duman, Esra 6 Orhan, Cihan 5 Aslan, Ismail 5 Demirci, Kamil 5 Doğru, Ogün 4 Burgin, Mark 4 Della Vecchia, Biancamaria 4 Erkus, Esra 4 Merdan, Hüseyin 3 Ocalan, Ozkan 2 Aktuglu, Huseyin 2 Dirik, Fadime 2 Gökçer, Türkan Yeliz 2 Gupta, Vijay 2 Karakus, Sevda 2 Orchan, C. 2 Srivastava, Hari Mohan 1 Alemdar, Meryem Ece 1 Ali Özarslan, M. 1 AlTawy, Riham 1 Aral, Ali 1 Atlihan, Özlem Girgin 1 Bohner, Martin J. 1 Celik, Canan 1 Ergür, Alperen Ali 1 Gadjiev, Akif Djafar oglu 1 Ghorbanalizadeh, Arash M. 1 Gürcan, Mehmet 1 Kaanoğlu, Cem 1 Kester, Merve 1 Khan, Mohammad Kazim 1 Küçük, Nisa 1 Mahmudov, Nazim Idrisoglu 1 Özarslan, Ali 1 Turan, Ceylan 1 Turkun, Can 1 Ünal, Zafer 1 Ünver, Mehmet 1 Wehr, Jan 1 Yalçın, Ceylan Turan 1 Youssef, Amr M.
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### Serials

 8 Chaos, Solitons and Fractals 6 Applied Mathematics Letters 5 Publicationes Mathematicae Debrecen 5 Studia Scientiarum Mathematicarum Hungarica 5 Journal of Computational Analysis and Applications 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Calcolo 3 Czechoslovak Mathematical Journal 3 Results in Mathematics 3 Stochastic Analysis and Applications 3 Mathematical and Computer Modelling 3 Turkish Journal of Mathematics 3 Serdica Mathematical Journal 3 Positivity 3 Taiwanese Journal of Mathematics 3 Hacettepe Journal of Mathematics and Statistics 3 Mediterranean Journal of Mathematics 3 Miskolc Mathematical Notes 3 Journal of Concrete and Applicable Mathematics 2 Periodica Mathematica Hungarica 2 Studia Mathematica 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Numerical Functional Analysis and Optimization 2 Filomat 2 Journal of Intelligent and Fuzzy Systems 2 Journal of Applied Functional Analysis 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Springer Proceedings in Mathematics & Statistics 1 Canadian Mathematical Bulletin 1 Demonstratio Mathematica 1 Fuzzy Sets and Systems 1 Matematički Vesnik 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Studia Universitatis Babeș-Bolyai. Mathematica 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 Integral Transforms and Special Functions 1 Differential Equations and Dynamical Systems 1 Markov Processes and Related Fields 1 Mathematical Inequalities & Applications 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Nonlinear Functional Analysis and Applications 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Intelligent Systems Reference Library 1 Journal of Mathematical Analysis 1 Advances in Intelligent Systems and Computing 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 Constructive Mathematical Analysis 1 Matematicheskie Voprosy Kriptografii
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### Fields

 91 Approximations and expansions (41-XX) 37 Sequences, series, summability (40-XX) 13 Real functions (26-XX) 12 Operator theory (47-XX) 9 Statistics (62-XX) 8 Difference and functional equations (39-XX) 7 General and overarching topics; collections (00-XX) 6 Functions of a complex variable (30-XX) 6 Numerical analysis (65-XX) 5 Integral equations (45-XX) 5 Biology and other natural sciences (92-XX) 4 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Probability theory and stochastic processes (60-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

97 Publications have been cited 990 times in 444 Documents Cited by Year
$$A$$-statistical convergence of approximating operators. Zbl 1086.41008
Duman, O.; Khan, M. K.; Orhan, C.
2003
Statistical approximation by positive linear operators. Zbl 1049.41016
Duman, O.; Orhan, C.
2004
Allee effect in a discrete-time predator-prey system. Zbl 1198.34084
Çelik, Canan; Duman, Oktay
2009
Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials. Zbl 1103.41024
Erkuş, Esra; Duman, Oktay; Srivastava, H. M.
2006
Szász-Mirakjan type operators providing a better error estimation. Zbl 1182.41022
Duman, Oktay; Özarslan, M. Ali
2007
Equi-statistical convergence of positive linear operators. Zbl 1131.41008
Karakuş, Sevda; Demirci, Kamil; Duman, Oktay
2008
Statistical approximation results for Kantorovich-type operators involving some special polynomials. Zbl 1145.40300
Özarslan, M. Ali; Duman, Oktay; Srivastava, H. M.
2008
$$\mu$$-statistically convergent function sequences. Zbl 1080.40501
Duman, O.; Orhan, C.
2004
Statistical convergence on intuitionistic fuzzy normed spaces. Zbl 1139.54006
Karakus, S.; Demirci, K.; Duman, O.
2008
Statistical approximation of Meyer-König and Zeller operators based on $$q$$-integers. Zbl 1097.41004
Doğru, O.; Duman, O.
2006
Modified Szász-Mirakjan-Kantorovich operators preserving linear functions. Zbl 1175.41015
Duman, Oktay; Özarslan, Mehmet Alý; Della Vecchia, Biancamaria
2009
Statistical rates on the multivariate approximation theory. Zbl 1132.41330
Duman, Oktay; Erkuş, Esra; Gupta, Vijay
2006
Towards intelligent modeling: statistical approximation theory. Zbl 1295.41001
Anastassiou, George A.; Duman, Oktay
2011
A Baskakov type generalization of statistical Korovkin theory. Zbl 1133.41004
Anastassiou, George A.; Duman, Oktay
2008
Statistical fuzzy approximation by fuzzy positive linear operators. Zbl 1155.41314
Anastassiou, George A.; Duman, Oktay
2008
MKZ type operators providing a better estimation on $$[1/2,1)$$. Zbl 1132.41318
Özarslan, M. Ali; Duman, Oktay
2007
Allee effects on population dynamics with delay. Zbl 1137.92364
Çelik, C.; Merdan, H.; Duman, O.; Akın, Ö.
2008
Rates of convergence of certain King-type operators for functions with derivative of bounded variation. Zbl 1201.41004
Özarslan, M. Ali; Duman, Oktay; Kaanoğlu, Cem
2010
$$A$$-statistical extension of the Korovkin type approximation theorem. Zbl 1085.41017
Erkuş, Esra; Duman, Oktay
2005
Statistical approximation by positive linear operators on modular spaces. Zbl 1193.41014
Karakuş, Sevda; Demirci, Kamil; Duman, Oktay
2010
Local approximation behavior of modified SMK operators. Zbl 1224.41056
Özarslan, M. Ali; Duman, Oktay
2010
Korovkin theorems on weighted spaces: revisited. Zbl 1399.41039
Atlihan, Özlem Girgin; Ünver, Mehmet; Duman, Oktay
2017
Rates of $$A$$-statistical convergence of positive linear operators. Zbl 1085.41012
Duman, O.; Orhan, C.
2005
Better error estimation for Szász-Mirakjan-Beta operators. Zbl 1134.41010
Duman, Oktay; Özarslan, Mehmet Ali; Aktuǧlu, Hüseyin
2008
Statistical approximation theorems by $$k$$-positive linear operators. Zbl 1100.41012
Duman, Oktay
2006
A Korovkin type approximation theorem in statistical sense. Zbl 1108.41012
Erkuş, Esra; Duman, Oktay
2006
Statistical approximation for periodic functions. Zbl 1065.41041
Duman, Oktay
2003
Approximation by nonlinear integral operators via summability process. Zbl 07198947
Aslan, Ismail; Duman, Oktay
2020
A Korovkin type approximation theorems via $$\mathcal {I}$$-convergence. Zbl 1174.41004
Duman, O.
2007
Smoothness properties of modified Bernstein-Kantorovich operators. Zbl 1337.41012
Özarslan, Mehmet Ali; Duman, Oktay
2016
An abstract version of the Korovkin approximation theorem. Zbl 1121.41012
Duman, Oktay; Orhan, Cihan
2006
Statistical approximation by generalized Meyer-König and Zeller type operators. Zbl 1065.41040
Doǧru, O.; Duman, O.; Orchan, C.
2003
$$A$$-statistical convergence of sequences of convolution operators. Zbl 1348.41019
Duman, Oktay
2008
Rates of $$A$$-statistical convergence of approximating operators. Zbl 1104.41018
Özarslan, M. A.; Duman, O.; Doğru, O.
2005
Allee effects on population dynamics in continuous (overlapping) case. Zbl 1197.37119
Merdan, H.; Duman, O.; Akın, Ö.; Çelik, C.
2009
Opial-type inequalities for diamond-alpha derivatives and integrals on time scales. Zbl 1205.26049
Bohner, Martin; Duman, Oktay
2010
Rates of $$A$$-statistical convergence of operators in the space of locally integrable functions. Zbl 1147.41004
Duman, O.; Orhan, C.
2008
On the stability analysis of a general discrete-time population model involving predation and Allee effects. Zbl 1197.39009
Merdan, H.; Duman, O.
2009
Bernstein-Durrmeyer type operators preserving linear functions. Zbl 1265.41044
Gupta, Vijay; Duman, Oktay
2010
Summability on Mellin-type nonlinear integral operators. Zbl 1436.41013
Aslan, Ismail; Duman, Oktay
2019
Approximation of continuous periodic functions via statistical convergence. Zbl 1148.41023
Duman, O.; Erkuş, E.
2006
Stability analysis of continuous population model involving predation and Allee effect. Zbl 1198.34138
Duman, O.; Merdan, H.
2009
A summability process on Baskakov-type approximation. Zbl 1389.40021
Aslan, İsmail; Duman, Oktay
2016
Statistical convergence of max-product approximating operators. Zbl 1204.26050
Duman, Oktay
2010
A new approach in obtaining a better estimation in approximation by positive linear operators. Zbl 1196.41010
Özarslan, M. Ali; Duman, Oktay
2009
Modified neural network operators and their convergence properties with summability methods. Zbl 1440.41011
Turkun, Can; Duman, Oktay
2020
Integral-type generalizations of operators obtained from certain multivariate polynomials. Zbl 1142.41005
Erkuş-Duman, Esra; Duman, O.
2008
Rates of ideal convergence for approximation operators. Zbl 1200.41022
Duman, Oktay; Özarslan, Mehmet Ali; Erkuş-Duman, Esra
2010
Approximation theorems by Meyer-König and Zeller type operators. Zbl 1198.41014
Özarslan, M. Ali; Duman, Oktay
2009
Approximation in statistical sense to $$B$$-continuous functions by positive linear operators. Zbl 1274.41025
Dirik, Fadime; Duman, Oktay; Demirci, Kamil
2010
Summation process by max-product operators. Zbl 1355.41017
Gökçer, Türkan Yeliz; Duman, Oktay
2016
Nonlinear approximation in $$N$$-dimension with the help of summability methods. Zbl 07358920
Aslan, Ismail; Duman, Oktay
2021
Local approximation results for Szász-Mirakjan type operators. Zbl 1139.41002
Özarslan, Mehmet Ali; Duman, Oktay
2008
Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials. Zbl 1236.41018
Erkuş-Duman, Esra; Duman, Oktay
2011
Matrix summability methods on the approximation of multivariate $$q$$-MKZ operators. Zbl 1231.41014
Aktuglu, Hüseyin; Özarslan, Ali; Duman, Oktay
2011
Approximation by max-min operators: a general theory and its applications. Zbl 1452.41012
Gökçer, Türkan Yeliz; Duman, Oktay
2020
Regular matrix transformations and rates of convergence of positive linear operators. Zbl 1168.41309
Duman, O.
2007
Statistical convergence of double-complex Picard integral operators. Zbl 1195.65221
Anastassiou, George A.; Duman, Oktay
2010
On relaxing the positivity condition of linear operators in statistical Korovkin-type approximations. Zbl 1176.41016
Anastassiou, George A.; Duman, Oktay
2009
Advances in applied mathematics and approximation theory. Contributions from AMAT 2012 – International conference on applied mathematics and approximation theory, Ankara, Turkey, May 17–20, 2012. Zbl 1264.00039
2013
On integral type generalizations of positive linear operators. Zbl 1098.41018
Duman, O.; Özarslan, M. A.; Doğru, O.
2006
Characterization of absolute and uniform continuity. Zbl 1488.26032
Aslan, İsmail; Duman, Oktay
2020
Statistical $$L_p$$-approximation by double Gauss-Weierstrass singular integral operators. Zbl 1189.41015
Anastassiou, George A.; Duman, Oktay
2010
Statistical Korovkin theory for multivariate stochastic processes. Zbl 1193.41028
Anastassiou, George A.; Duman, Oktay
2010
A Voronovskaya-type formula for SMK operators via statistical convergence. Zbl 1265.41031
Aral, Ali; Duman, Oktay
2011
Statistical fuzzy convergence. Zbl 1175.26064
Burgin, Mark; Duman, Oktay
2008
Ideal convergence of $$k$$-positive linear operators. Zbl 1243.40019
2012
Statistical approximation in the space of locally integrable functions. Zbl 1027.41012
Duman, O.; Orchan, C.
2003
Fundamental properties of statistical convergence and lacunary statistical convergence on time scales. Zbl 07452564
Turan, Ceylan; Duman, Oktay
2017
General summability methods in the approximation by Bernstein-Chlodovsky operators. Zbl 1478.40003
Alemdar, Meryem Ece; Duman, Oktay
2021
On statistical fuzzy trigonometric Korovkin theory. Zbl 1134.26010
Duman, Oktay; Anastassiou, George A.
2008
Oscillation analysis of neutral difference equations with delays. Zbl 1197.39004
Öcalan, Özkan; Duman, Oktay
2009
Statistical fuzzy approximation to fuzzy differentiable functions by fuzzy linear operators. Zbl 1220.26023
Duman, Oktay
2010
Global approximation results for modified Szász-Mirakjan operators. Zbl 1229.41015
Duman, Oktay; Özarslan, Mehmet Ali
2011
Approximation properties of Poisson integrals for orthogonal expansions. Zbl 1171.41309
Özarslan, Mehmet Ali; Duman, Oktay
2008
Uniform approximation in statistical sense by double Gauss-Weierstrass singular integral operators. Zbl 1248.41036
Anastassiou, George A.; Duman, Oktay
2010
Statistical approximation by double Picard singular integral operators. Zbl 1224.41077
Anastassiou, George A.; Duman, Oktay
2010
Global approximation properties of modified SMK operators. Zbl 1265.41030
Ali Özarslan, M.; Duman, Oktay
2010
Approximation properties of real and complex post-widder operators based on $$q$$-integers. Zbl 1274.41053
Ünal, Zafer; Özarslan, Mehmet Ali; Duman, Oktay
2012
Statistical approximation by double complex Gauss-Weierstrass integral operators. Zbl 1217.47036
Anastassiou, George A.; Duman, Oktay
2011
An SDE approximation for stochastic differential delay equations with state-dependent colored noise. Zbl 1356.60091
McDaniel, A.; Duman, Ö.; Volpe, G.; Wehr, J.
2016
Summability methods in weighted approximation to derivatives of functions. Zbl 1493.40011
Küçük, Nisa; Duman, Oktay
2015
Higher order generalization of positive linear operators defined by a class of Borel measures. Zbl 1131.41306
Duman, Oktay
2007
Weighted approximation by Meyer-König and Zeller type operators. Zbl 1164.41016
Della Vecchia, Biancamaria; Duman, Oktay
2007
Statistical approximation to Bögel-type continuous and periodic functions. Zbl 1179.41011
Dirik, Fadime; Duman, Oktay; Demirci, Kamil
2009
Fractional Korovkin theory based on statistical convergence. Zbl 1224.41050
Anastassiou, G. A.; Duman, O.
2009
Approximations by linear operators in spaces of fuzzy continuous functions. Zbl 1222.41031
Burgin, Mark; Duman, Oktay
2011
Statistical weighted approximation to derivatives of functions by linear operators. Zbl 1176.41017
Anastassiou, George A.; Duman, Oktay
2009
Statistical approximation for stochastic processes. Zbl 1175.41021
Anastassiou, George A.; Duman, Oktay; Erkuş-Duman, Esra
2009
Statistical Korovkin-type theory for matrix-valued functions. Zbl 1265.41053
Duman, Oktay; Erkuş-Duman, Esra
2011
Local approximation properties of modified Baskakov operators. Zbl 1216.41012
Özarslan, M. Ali; Duman, Oktay; Mahmudov, Nazım I.
2011
The effects of matrix summability methods on bounds of function sequences. Zbl 1057.40003
Duman, O.
2004
Statistical approximation by double Poisson-Cauchy singular integral operators. Zbl 1257.30030
Duman, Oktay; Kester, Merve
2012
Fuzzy approximation based on statistical rates. Zbl 1224.26092
Duman, Oktay
2010
Complex Shepard operators and their summability. Zbl 1477.30034
Duman, Oktay; Della Vecchia, Biancamaria
2021
Summability process by Mastroianni operators and their generalizations. Zbl 1321.40003
Duman, Oktay
2015
Nonlinear Bernstein-type operators providing a better error estimation. Zbl 1324.41030
Duman, Oktay
2014
Nonlinear approximation in $$N$$-dimension with the help of summability methods. Zbl 07358920
Aslan, Ismail; Duman, Oktay
2021
General summability methods in the approximation by Bernstein-Chlodovsky operators. Zbl 1478.40003
Alemdar, Meryem Ece; Duman, Oktay
2021
Complex Shepard operators and their summability. Zbl 1477.30034
Duman, Oktay; Della Vecchia, Biancamaria
2021
Approximation by nonlinear integral operators via summability process. Zbl 07198947
Aslan, Ismail; Duman, Oktay
2020
Modified neural network operators and their convergence properties with summability methods. Zbl 1440.41011
Turkun, Can; Duman, Oktay
2020
Approximation by max-min operators: a general theory and its applications. Zbl 1452.41012
Gökçer, Türkan Yeliz; Duman, Oktay
2020
Characterization of absolute and uniform continuity. Zbl 1488.26032
Aslan, İsmail; Duman, Oktay
2020
Summability on Mellin-type nonlinear integral operators. Zbl 1436.41013
Aslan, Ismail; Duman, Oktay
2019
Korovkin theorems on weighted spaces: revisited. Zbl 1399.41039
Atlihan, Özlem Girgin; Ünver, Mehmet; Duman, Oktay
2017
Fundamental properties of statistical convergence and lacunary statistical convergence on time scales. Zbl 07452564
Turan, Ceylan; Duman, Oktay
2017
Smoothness properties of modified Bernstein-Kantorovich operators. Zbl 1337.41012
Özarslan, Mehmet Ali; Duman, Oktay
2016
A summability process on Baskakov-type approximation. Zbl 1389.40021
Aslan, İsmail; Duman, Oktay
2016
Summation process by max-product operators. Zbl 1355.41017
Gökçer, Türkan Yeliz; Duman, Oktay
2016
An SDE approximation for stochastic differential delay equations with state-dependent colored noise. Zbl 1356.60091
McDaniel, A.; Duman, Ö.; Volpe, G.; Wehr, J.
2016
Summability methods in weighted approximation to derivatives of functions. Zbl 1493.40011
Küçük, Nisa; Duman, Oktay
2015
Summability process by Mastroianni operators and their generalizations. Zbl 1321.40003
Duman, Oktay
2015
Nonlinear Bernstein-type operators providing a better error estimation. Zbl 1324.41030
Duman, Oktay
2014
Advances in applied mathematics and approximation theory. Contributions from AMAT 2012 – International conference on applied mathematics and approximation theory, Ankara, Turkey, May 17–20, 2012. Zbl 1264.00039
2013
Ideal convergence of $$k$$-positive linear operators. Zbl 1243.40019
2012
Approximation properties of real and complex post-widder operators based on $$q$$-integers. Zbl 1274.41053
Ünal, Zafer; Özarslan, Mehmet Ali; Duman, Oktay
2012
Statistical approximation by double Poisson-Cauchy singular integral operators. Zbl 1257.30030
Duman, Oktay; Kester, Merve
2012
Towards intelligent modeling: statistical approximation theory. Zbl 1295.41001
Anastassiou, George A.; Duman, Oktay
2011
Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials. Zbl 1236.41018
Erkuş-Duman, Esra; Duman, Oktay
2011
Matrix summability methods on the approximation of multivariate $$q$$-MKZ operators. Zbl 1231.41014
Aktuglu, Hüseyin; Özarslan, Ali; Duman, Oktay
2011
A Voronovskaya-type formula for SMK operators via statistical convergence. Zbl 1265.41031
Aral, Ali; Duman, Oktay
2011
Global approximation results for modified Szász-Mirakjan operators. Zbl 1229.41015
Duman, Oktay; Özarslan, Mehmet Ali
2011
Statistical approximation by double complex Gauss-Weierstrass integral operators. Zbl 1217.47036
Anastassiou, George A.; Duman, Oktay
2011
Approximations by linear operators in spaces of fuzzy continuous functions. Zbl 1222.41031
Burgin, Mark; Duman, Oktay
2011
Statistical Korovkin-type theory for matrix-valued functions. Zbl 1265.41053
Duman, Oktay; Erkuş-Duman, Esra
2011
Local approximation properties of modified Baskakov operators. Zbl 1216.41012
Özarslan, M. Ali; Duman, Oktay; Mahmudov, Nazım I.
2011
Rates of convergence of certain King-type operators for functions with derivative of bounded variation. Zbl 1201.41004
Özarslan, M. Ali; Duman, Oktay; Kaanoğlu, Cem
2010
Statistical approximation by positive linear operators on modular spaces. Zbl 1193.41014
Karakuş, Sevda; Demirci, Kamil; Duman, Oktay
2010
Local approximation behavior of modified SMK operators. Zbl 1224.41056
Özarslan, M. Ali; Duman, Oktay
2010
Opial-type inequalities for diamond-alpha derivatives and integrals on time scales. Zbl 1205.26049
Bohner, Martin; Duman, Oktay
2010
Bernstein-Durrmeyer type operators preserving linear functions. Zbl 1265.41044
Gupta, Vijay; Duman, Oktay
2010
Statistical convergence of max-product approximating operators. Zbl 1204.26050
Duman, Oktay
2010
Rates of ideal convergence for approximation operators. Zbl 1200.41022
Duman, Oktay; Özarslan, Mehmet Ali; Erkuş-Duman, Esra
2010
Approximation in statistical sense to $$B$$-continuous functions by positive linear operators. Zbl 1274.41025
Dirik, Fadime; Duman, Oktay; Demirci, Kamil
2010
Statistical convergence of double-complex Picard integral operators. Zbl 1195.65221
Anastassiou, George A.; Duman, Oktay
2010
Statistical $$L_p$$-approximation by double Gauss-Weierstrass singular integral operators. Zbl 1189.41015
Anastassiou, George A.; Duman, Oktay
2010
Statistical Korovkin theory for multivariate stochastic processes. Zbl 1193.41028
Anastassiou, George A.; Duman, Oktay
2010
Statistical fuzzy approximation to fuzzy differentiable functions by fuzzy linear operators. Zbl 1220.26023
Duman, Oktay
2010
Uniform approximation in statistical sense by double Gauss-Weierstrass singular integral operators. Zbl 1248.41036
Anastassiou, George A.; Duman, Oktay
2010
Statistical approximation by double Picard singular integral operators. Zbl 1224.41077
Anastassiou, George A.; Duman, Oktay
2010
Global approximation properties of modified SMK operators. Zbl 1265.41030
Ali Özarslan, M.; Duman, Oktay
2010
Fuzzy approximation based on statistical rates. Zbl 1224.26092
Duman, Oktay
2010
Allee effect in a discrete-time predator-prey system. Zbl 1198.34084
Çelik, Canan; Duman, Oktay
2009
Modified Szász-Mirakjan-Kantorovich operators preserving linear functions. Zbl 1175.41015
Duman, Oktay; Özarslan, Mehmet Alý; Della Vecchia, Biancamaria
2009
Allee effects on population dynamics in continuous (overlapping) case. Zbl 1197.37119
Merdan, H.; Duman, O.; Akın, Ö.; Çelik, C.
2009
On the stability analysis of a general discrete-time population model involving predation and Allee effects. Zbl 1197.39009
Merdan, H.; Duman, O.
2009
Stability analysis of continuous population model involving predation and Allee effect. Zbl 1198.34138
Duman, O.; Merdan, H.
2009
A new approach in obtaining a better estimation in approximation by positive linear operators. Zbl 1196.41010
Özarslan, M. Ali; Duman, Oktay
2009
Approximation theorems by Meyer-König and Zeller type operators. Zbl 1198.41014
Özarslan, M. Ali; Duman, Oktay
2009
On relaxing the positivity condition of linear operators in statistical Korovkin-type approximations. Zbl 1176.41016
Anastassiou, George A.; Duman, Oktay
2009
Oscillation analysis of neutral difference equations with delays. Zbl 1197.39004
Öcalan, Özkan; Duman, Oktay
2009
Statistical approximation to Bögel-type continuous and periodic functions. Zbl 1179.41011
Dirik, Fadime; Duman, Oktay; Demirci, Kamil
2009
Fractional Korovkin theory based on statistical convergence. Zbl 1224.41050
Anastassiou, G. A.; Duman, O.
2009
Statistical weighted approximation to derivatives of functions by linear operators. Zbl 1176.41017
Anastassiou, George A.; Duman, Oktay
2009
Statistical approximation for stochastic processes. Zbl 1175.41021
Anastassiou, George A.; Duman, Oktay; Erkuş-Duman, Esra
2009
Equi-statistical convergence of positive linear operators. Zbl 1131.41008
Karakuş, Sevda; Demirci, Kamil; Duman, Oktay
2008
Statistical approximation results for Kantorovich-type operators involving some special polynomials. Zbl 1145.40300
Özarslan, M. Ali; Duman, Oktay; Srivastava, H. M.
2008
Statistical convergence on intuitionistic fuzzy normed spaces. Zbl 1139.54006
Karakus, S.; Demirci, K.; Duman, O.
2008
A Baskakov type generalization of statistical Korovkin theory. Zbl 1133.41004
Anastassiou, George A.; Duman, Oktay
2008
Statistical fuzzy approximation by fuzzy positive linear operators. Zbl 1155.41314
Anastassiou, George A.; Duman, Oktay
2008
Allee effects on population dynamics with delay. Zbl 1137.92364
Çelik, C.; Merdan, H.; Duman, O.; Akın, Ö.
2008
Better error estimation for Szász-Mirakjan-Beta operators. Zbl 1134.41010
Duman, Oktay; Özarslan, Mehmet Ali; Aktuǧlu, Hüseyin
2008
$$A$$-statistical convergence of sequences of convolution operators. Zbl 1348.41019
Duman, Oktay
2008
Rates of $$A$$-statistical convergence of operators in the space of locally integrable functions. Zbl 1147.41004
Duman, O.; Orhan, C.
2008
Integral-type generalizations of operators obtained from certain multivariate polynomials. Zbl 1142.41005
Erkuş-Duman, Esra; Duman, O.
2008
Local approximation results for Szász-Mirakjan type operators. Zbl 1139.41002
Özarslan, Mehmet Ali; Duman, Oktay
2008
Statistical fuzzy convergence. Zbl 1175.26064
Burgin, Mark; Duman, Oktay
2008
On statistical fuzzy trigonometric Korovkin theory. Zbl 1134.26010
Duman, Oktay; Anastassiou, George A.
2008
Approximation properties of Poisson integrals for orthogonal expansions. Zbl 1171.41309
Özarslan, Mehmet Ali; Duman, Oktay
2008
Szász-Mirakjan type operators providing a better error estimation. Zbl 1182.41022
Duman, Oktay; Özarslan, M. Ali
2007
MKZ type operators providing a better estimation on $$[1/2,1)$$. Zbl 1132.41318
Özarslan, M. Ali; Duman, Oktay
2007
A Korovkin type approximation theorems via $$\mathcal {I}$$-convergence. Zbl 1174.41004
Duman, O.
2007
Regular matrix transformations and rates of convergence of positive linear operators. Zbl 1168.41309
Duman, O.
2007
Higher order generalization of positive linear operators defined by a class of Borel measures. Zbl 1131.41306
Duman, Oktay
2007
Weighted approximation by Meyer-König and Zeller type operators. Zbl 1164.41016
Della Vecchia, Biancamaria; Duman, Oktay
2007
Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials. Zbl 1103.41024
Erkuş, Esra; Duman, Oktay; Srivastava, H. M.
2006
Statistical approximation of Meyer-König and Zeller operators based on $$q$$-integers. Zbl 1097.41004
Doğru, O.; Duman, O.
2006
Statistical rates on the multivariate approximation theory. Zbl 1132.41330
Duman, Oktay; Erkuş, Esra; Gupta, Vijay
2006
Statistical approximation theorems by $$k$$-positive linear operators. Zbl 1100.41012
Duman, Oktay
2006
A Korovkin type approximation theorem in statistical sense. Zbl 1108.41012
Erkuş, Esra; Duman, Oktay
2006
An abstract version of the Korovkin approximation theorem. Zbl 1121.41012
Duman, Oktay; Orhan, Cihan
2006
Approximation of continuous periodic functions via statistical convergence. Zbl 1148.41023
Duman, O.; Erkuş, E.
2006
On integral type generalizations of positive linear operators. Zbl 1098.41018
Duman, O.; Özarslan, M. A.; Doğru, O.
2006
$$A$$-statistical extension of the Korovkin type approximation theorem. Zbl 1085.41017
Erkuş, Esra; Duman, Oktay
2005
Rates of $$A$$-statistical convergence of positive linear operators. Zbl 1085.41012
Duman, O.; Orhan, C.
2005
Rates of $$A$$-statistical convergence of approximating operators. Zbl 1104.41018
Özarslan, M. A.; Duman, O.; Doğru, O.
2005
Statistical approximation by positive linear operators. Zbl 1049.41016
Duman, O.; Orhan, C.
2004
$$\mu$$-statistically convergent function sequences. Zbl 1080.40501
Duman, O.; Orhan, C.
2004
The effects of matrix summability methods on bounds of function sequences. Zbl 1057.40003
Duman, O.
2004
$$A$$-statistical convergence of approximating operators. Zbl 1086.41008
Duman, O.; Khan, M. K.; Orhan, C.
2003
Statistical approximation for periodic functions. Zbl 1065.41041
Duman, Oktay
2003
Statistical approximation by generalized Meyer-König and Zeller type operators. Zbl 1065.41040
Doǧru, O.; Duman, O.; Orchan, C.
2003
Statistical approximation in the space of locally integrable functions. Zbl 1027.41012
Duman, O.; Orchan, C.
2003
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### Cited by 436 Authors

 35 Duman, Oktay 32 Agrawal, Purshottam Narain 28 Demirci, Kamil 24 Mursaleen, Mohammad 15 Srivastava, Hari Mohan 13 Yıldız, Sevda 12 Braha, Naim Latif 12 Dirik, Fadime 12 Gupta, Vijay 11 Anastassiou, George Angelos 11 Deo, Naokant 11 Mishra, Vishnu Narayan 11 Ozarslan, Mehmet Ali 10 Boccuto, Antonio 10 Kajla, Arun 9 Acu, Ana Maria 9 Aral, Ali 9 Orhan, Sevda 9 Paikray, Susanta Kumar 8 Jena, Bidu Bhusan 8 Kadak, Ugur 7 Aktuglu, Huseyin 7 Mohiuddine, Syed Abdul 7 Rao, Nadeem 7 Taş, Emre 6 Bardaro, Carlo 6 Baxhaku, Behar 6 Dimitriou, Xenofon 6 Doğru, Ogün 6 Dutta, Hemen 6 Gadjiev, Akif Djafar oglu 6 Mantellini, Ilaria 6 Yurdakadim, Tuğba 5 Acar, Tuncer 5 Aktaş, Rabia 5 Alotaibi, Abdullah M. 5 Aslan, Ismail 5 Çekım, Bayram 5 Karakus, Sevda 5 Kaymakçalan, Billur 5 Mahmudov, Nazim Idrisoglu 5 Mansour, Toufik 5 Örkcü, Mediha 5 Patel, Prashantkumar Gordhanbhai 5 Soylemez, Dilek 5 Ünver, Mehmet 4 Agratini, Octavian 4 Ansari, Khursheed Jamal 4 Bhardwaj, Vinod Kumar 4 Erkuş-Duman, Esra 4 Finta, Zoltán 4 Garrancho, Pedro 4 Goyal, Meenu 4 Gupta, Pooja 4 Hazarika, Bipan 4 Hu, Zengyun 4 İspir, Nurhayat 4 Liu, Shuoh-Jung 4 Misra, Uma Kanta 4 Orhan, Cihan 4 Pratap, Ram 4 Taşdelen, Fatma 4 Teng, Zhi-dong 4 Wafi, Abdul 3 Aliev, Rashid Avazaga 3 Antal, Reena 3 Araci, Serkan 3 Bhardwaj, Neha 3 Cai, Qingbo 3 Cárdenas-Morales, Daniel 3 Chattopadhyay, Joydev 3 Chawla, Meenakshi 3 Çınar, Selin 3 Ghorbanalizadeh, Arash M. 3 Gökçer, Türkan Yeliz 3 Ịçöz, Gürhan 3 Kayar, Zeynep 3 Kışı, Ömer 3 Kolay, Burçak 3 Olgun, Ali 3 Rahman, Shagufta 3 Rasa, Ioan 3 Sharma, Honey 3 Shukla, Rahul 3 Yilmaz, Övgü Gürel 3 Zhang, Limin 2 Atlihan, Özlem Girgin 2 Bhatt, Dhawal J. 2 Bhatti, Harbax Singh 2 Biswas, Santanu 2 Bodur, Murat 2 Cai, Yongli 2 Cappelletti Montano, Mirella 2 Celik, Canan 2 Chauhan, Ruchi 2 Chen, Xi 2 Chen, Xianwei 2 Cheng, Lixin 2 Cheng, Wentao 2 Chyan, Chuan Jen ...and 336 more Authors
all top 5

### Cited in 124 Serials

 34 Applied Mathematics and Computation 18 Filomat 17 Results in Mathematics 17 Journal of Inequalities and Applications 15 Advances in Difference Equations 14 Positivity 13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 11 Mathematical and Computer Modelling 10 Mathematica Slovaca 9 Applied Mathematics Letters 9 Abstract and Applied Analysis 9 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 8 Soft Computing 8 Hacettepe Journal of Mathematics and Statistics 7 Chaos, Solitons and Fractals 7 Turkish Journal of Mathematics 7 Discrete Dynamics in Nature and Society 6 Computers & Mathematics with Applications 6 Journal of Mathematical Analysis and Applications 6 Demonstratio Mathematica 6 Numerical Functional Analysis and Optimization 6 Constructive Mathematical Analysis 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Integral Transforms and Special Functions 5 Journal of Applied Mathematics 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Central European Journal of Mathematics 5 Mediterranean Journal of Mathematics 5 Journal of Function Spaces 4 Georgian Mathematical Journal 4 Journal of Applied Mathematics and Computing 4 Journal of Mathematical Inequalities 3 Calcolo 3 Stochastic Analysis and Applications 3 The Journal of Analysis 3 Lobachevskii Journal of Mathematics 3 Thai Journal of Mathematics 3 Proyecciones 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 International Journal of Biomathematics 3 Tbilisi Mathematical Journal 3 Palestine Journal of Mathematics 3 AIMS Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Periodica Mathematica Hungarica 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica Vietnamica 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Kyungpook Mathematical Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Acta Mathematicae Applicatae Sinica. English Series 2 Numerical Algorithms 2 Journal of Difference Equations and Applications 2 Journal of Applied Analysis 2 Nonlinear Analysis. Real World Applications 2 Journal of Function Spaces and Applications 2 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 2 Asian-European Journal of Mathematics 2 Advances in Mathematical Physics 2 Analysis and Mathematical Physics 2 Afrika Matematika 2 Journal of Classical Analysis 2 Journal of Mathematics 2 Advances in Operator Theory 2 Advanced Studies: Euro-Tbilisi Mathematical Journal 1 Applicable Analysis 1 Mathematical Methods in the Applied Sciences 1 Fuzzy Sets and Systems 1 Information Sciences 1 Journal of Approximation Theory 1 Mathematics and Computers in Simulation 1 Quaestiones Mathematicae 1 Real Analysis Exchange 1 Revista de la Unión Matemática Argentina 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Science in China. Series A 1 Mathematica Bohemica 1 Communications in Statistics. Theory and Methods 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Test 1 Fractals 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Biological Systems 1 Qualitative Theory of Dynamical Systems 1 The ANZIAM Journal 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Modelling and Analysis 1 Applied Mathematics E-Notes 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Journal of Intelligent and Fuzzy Systems 1 Analysis in Theory and Applications 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Iranian Journal of Fuzzy Systems 1 Mathematical Biosciences and Engineering ...and 24 more Serials
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### Cited in 27 Fields

 322 Approximations and expansions (41-XX) 153 Sequences, series, summability (40-XX) 68 Real functions (26-XX) 48 Biology and other natural sciences (92-XX) 29 Operator theory (47-XX) 27 Ordinary differential equations (34-XX) 27 Functional analysis (46-XX) 19 Special functions (33-XX) 19 Dynamical systems and ergodic theory (37-XX) 13 Difference and functional equations (39-XX) 11 Numerical analysis (65-XX) 8 Functions of a complex variable (30-XX) 6 Partial differential equations (35-XX) 6 General topology (54-XX) 5 Measure and integration (28-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 4 Mathematical logic and foundations (03-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX)