All Stories

  1. Improved approximation via hybrid Shepard–Lagrange operators: Linear and nonlinear perspectives

    Article • Journal of Computational and Applied Mathematics, June 2025, Elsevier

    Oktay Duman

  2. Nonlinear approximation of vector-valued functions by Shepard operators based on max-product and max-min operations

    Article • Fuzzy Sets and Systems, June 2025, Elsevier

    Oktay Duman

  3. Asymptotic Formulae for Modified Bernstein Operators based on Regular Summability Methods

    Article • Hacettepe Journal of Mathematics and Statistics, January 2025, Hacettepe Journal of Biology and Chemistry

    Oktay Duman

  4. Kantorovich Version of Vector-Valued Shepard Operators

    Article • Axioms, March 2024, MDPI AG

    Oktay Duman

  5. Max-product Shepard operators based on multivariable Taylor polynomials

    Article • Journal of Computational and Applied Mathematics, February 2024, Elsevier

    Oktay Duman

  6. Vector-Valued Shepard Processes: Approximation with Summability

    Article • Axioms, December 2023, MDPI AG

    Oktay Duman

  7. Complex Shepard Operators and Their Summability

    Article • Results in Mathematics, October 2021, Springer Science + Business Media

    Oktay Duman

  8. Generalized Cesàro summability of Fourier series and its applications

    Article • Constructive Mathematical Analysis, June 2021, Constructive Mathematical Analysis

    Oktay Duman

  9. Nonlinear approximation in N-dimension with the help of summability methods

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, April 2021, Springer Science + Business Media

    Oktay Duman

  10. General Summability Methods in the Approximation by Bernstein–Chlodovsky Operators

    Article • Numerical Functional Analysis and Optimization, April 2021, Taylor & Francis

    Oktay Duman

  11. Characterization of Absolute and Uniform Continuity

    Article • Hacettepe Journal of Mathematics and Statistics, October 2020, Hacettepe Journal of Biology and Chemistry

    Oktay Duman

  12. Modified neural network operators and their convergence properties with summability methods

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, May 2020, Springer Science + Business Media

    Oktay Duman

  13. Solutions to conjectures on a nonlinear recursive equation

    Article • February 2020, Institute of Mathematics, Czech Academy of Sciences

    Oktay Duman

  14. Approximation by nonlinear integral operators via summability process

    Article • Mathematische Nachrichten, January 2020, Wiley

    Oktay Duman

  15. Approximation by max-min operators: A general theory and its applications

    Article • Fuzzy Sets and Systems, November 2019, Elsevier

    Oktay Duman

  16. Summability on Mellin-type nonlinear integral operators

    Article • Integral Transforms and Special Functions, March 2019, Taylor & Francis

    Oktay Duman

  17. Error Estimation for Approximate Solutions of Delay Volterra Integral Equations

    Article • January 2019, Springer Science + Business Media

    Oktay Duman

  18. Hardy-Type Tauberian Conditions on Time Scales

    Article • Mediterranean Journal of Mathematics, September 2018, Springer Science + Business Media

    Oktay Duman

  19. Korovkin theorems on weighted spaces: revisited

    Article • Periodica Mathematica Hungarica, May 2017, Springer Science + Business Media

    Dr. Mehmet Ünver, Oktay Duman

  20. Fundamental properties of statistical convergence and lacunary statistical convergence on time scales

    Article • Filomat, January 2017, National Library of Serbia

    Oktay Duman

  21. A summability process on Baskakov-type approximation

    Article • Periodica Mathematica Hungarica, March 2016, Springer Science + Business Media

    Oktay Duman

  22. Computational Analysis

    Article • January 2016, Springer Science + Business Media

    Oktay Duman

  23. Intelligent Mathematics II: Applied Mathematics and Approximation Theory

    Article • January 2016, Springer Science + Business Media

    Oktay Duman

  24. Nonlinear Approximation: q-Bernstein Operators of Max-Product Kind

    Article • January 2016, Springer Science + Business Media

    Oktay Duman

  25. Summation Process by Max-Product Operators

    Article • January 2016, Springer Science + Business Media

    Oktay Duman

  26. Smoothness Properties of Modified Bernstein-Kantorovich Operators

    Article • Numerical Functional Analysis and Optimization, December 2015, Taylor & Francis

    Oktay Duman

  27. Singular approximation in polydiscs by summability process

    Article • Positivity, October 2015, Springer Science + Business Media

    Oktay Duman

  28. Summability process by singular operators

    Article • Publicationes Mathematicae Debrecen, September 2014, University of Debrecen/ Debreceni Egyetem

    Oktay Duman

  29. Summability Process by Mastroianni Operators and Their Generalizations

    Article • Mediterranean Journal of Mathematics, February 2014, Springer Science + Business Media

    Oktay Duman

  30. Advances in Applied Mathematics and Approximation Theory

    Article • January 2013, Springer Science + Business Media

    Oktay Duman, Professor Praveen Agarwal

  31. Convergence methods on time scales

    Article • January 2013, American Institute of Physics

    Oktay Duman

  32. Generalization of Statistical Korovkin Theorems

    Article • Journal of Applied Mathematics, January 2013, Hindawi Publishing Corporation

    Oktay Duman

  33. Statistical Convergence on Timescales and Its Characterizations

    Article • January 2013, Springer Science + Business Media

    Oktay Duman

  34. Ideal Convergence ofk-Positive Linear Operators

    Article • Journal of Function Spaces and Applications, January 2012, Hindawi Publishing Corporation

    Oktay Duman

  35. Statistical Korovkin-type theory for matrix-valued functions

    Article • Studia Scientiarum Mathematicarum Hungarica, December 2011, Akademiai Kiado

    Oktay Duman

  36. Statistical approximation properties of high order operators constructed with the Chan–Chyan–Srivastava polynomials

    Article • Applied Mathematics and Computation, November 2011, Elsevier

    Oktay Duman

  37. Approximate Fuzzy Continuity of Functions

    Article • International Journal of Fuzzy System Applications, October 2011, IGI Global

    Oktay Duman

  38. Statistical approximation by double complex Gauss–Weierstrass integral operators

    Article • Applied Mathematics Letters, April 2011, Elsevier

    Oktay Duman

  39. Statistical Approximation by Double Poisson–Cauchy Singular Integral Operators

    Article • Results in Mathematics, March 2011, Springer Science + Business Media

    Oktay Duman

  40. A Voronovskaya-type formula for SMK operators via statistical convergence

    Article • Mathematica Slovaca, January 2011, De Gruyter Open Sp. z o.o.

    Oktay Duman

  41. Towards Intelligent Modeling: Statistical Approximation Theory

    Article • January 2011, Springer Science + Business Media

    Oktay Duman

  42. Approximation in statistical sense to B -continuous functions by positive linear operators

    Article • Studia Scientiarum Mathematicarum Hungarica, September 2010, Akademiai Kiado

    Oktay Duman

  43. Statistical convergence of double-complex Picard integral operators

    Article • Applied Mathematics Letters, August 2010, Elsevier

    Oktay Duman

  44. Rates of convergence of certain King-type operators for functions with derivative of bounded variation

    Article • Mathematical and Computer Modelling, July 2010, Elsevier

    Oktay Duman

  45. Local Approximation Properties of Modified Baskakov Operators

    Article • Results in Mathematics, June 2010, Springer Science + Business Media

    Oktay Duman

  46. Statistical Korovkin Theory for Multivariate Stochastic Processes

    Article • Stochastic Analysis and Applications, June 2010, Taylor & Francis

    Oktay Duman

  47. Opial-type inequalities for diamond-alpha derivatives and integrals on time scales

    Article • Differential Equations and Dynamical Systems, April 2010, Springer Science + Business Media

    Oktay Duman

  48. Rates of Ideal Convergence for Approximation Operators

    Article • Mediterranean Journal of Mathematics, March 2010, Springer Science + Business Media

    Oktay Duman

  49. Statistical

    Article • Computers & Mathematics with Applications, March 2010, Elsevier

    Oktay Duman

  50. Approximations by linear operators in spaces of fuzzy continuous functions

    Article • Positivity, January 2010, Springer Science + Business Media

    Oktay Duman

  51. Global approximation properties of modified SMK operators

    Article • Filomat, January 2010, National Library of Serbia

    Oktay Duman

  52. Statistical convergence of max-product approximating operators

    Article • TURKISH JOURNAL OF MATHEMATICS, January 2010, The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS

    Oktay Duman

  53. Statistical approximation to Bögel-type continuous and periodic functions

    Article • Central European Journal of Mathematics, August 2009, De Gruyter

    Oktay Duman

  54. Stability analysis of continuous population model involving predation and Allee effect

    Article • Chaos Solitons & Fractals, August 2009, Elsevier

    Oktay Duman

  55. Approximation theorems by Meyer-König and Zeller type operators

    Article • Chaos Solitons & Fractals, July 2009, Elsevier

    Oktay Duman

  56. Statistical approximation by positive linear operators on modular spaces

    Article • Positivity, May 2009, Springer Science + Business Media

    Oktay Duman

  57. On the stability analysis of a general discrete-time population model involving predation and Allee effects

    Article • Chaos Solitons & Fractals, May 2009, Elsevier

    Oktay Duman

  58. Allee effect in a discrete-time predator–prey system

    Article • Chaos Solitons & Fractals, May 2009, Elsevier

    Oktay Duman

  59. Statistical Approximation for Stochastic Processes

    Article • Stochastic Analysis and Applications, April 2009, Taylor & Francis

    Oktay Duman

  60. High Order Statistical Fuzzy Korovkin Theory

    Article • Stochastic Analysis and Applications, April 2009, Taylor & Francis

    Oktay Duman

  61. Allee effects on population dynamics in continuous (overlapping) case

    Article • Chaos Solitons & Fractals, February 2009, Elsevier

    Oktay Duman

  62. Oscillation analysis of neutral difference equations with delays

    Article • Chaos Solitons & Fractals, January 2009, Elsevier

    Oktay Duman

  63. Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions

    Article • TURKISH JOURNAL OF MATHEMATICS, January 2009, The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS

    Oktay Duman

  64. STATISTICAL FUZZY CONVERGENCE

    Article • International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, December 2008, World Scientific Pub Co Pte Lt

    Oktay Duman

  65. Statistical approximation results for Kantorovich-type operators involving some special polynomials

    Article • Mathematical and Computer Modelling, August 2008, Elsevier

    Oktay Duman, Prof. Dr. Hari Mohan Srivastava

  66. Allee effects on population dynamics with delay

    Article • Chaos Solitons & Fractals, July 2008, Elsevier

    Oktay Duman

  67. Rates of

    Article • Applied Mathematics Letters, May 2008, Elsevier

    Oktay Duman

  68. A Baskakov type generalization of statistical Korovkin theory

    Article • Journal of Mathematical Analysis and Applications, April 2008, Elsevier

    Oktay Duman

  69. Equi-statistical convergence of positive linear operators

    Article • Journal of Mathematical Analysis and Applications, March 2008, Elsevier

    Oktay Duman

  70. Integral-type generalizations of operators obtained from certain multivariate polynomials

    Article • CALCOLO, March 2008, Springer Science + Business Media

    Oktay Duman

  71. Statistical convergence on intuitionistic fuzzy normed spaces

    Article • Chaos Solitons & Fractals, February 2008, Elsevier

    Oktay Duman

  72. Statistical fuzzy approximation by fuzzy positive linear operators

    Article • Computers & Mathematics with Applications, February 2008, Elsevier

    Oktay Duman

  73. Local approximation results for Szász-Mirakjan type operators

    Article • Archiv der Mathematik, January 2008, Springer Science + Business Media

    Oktay Duman

  74. Weighted approximation by Meyer-König and Zeller type operators

    Article • Studia Scientiarum Mathematicarum Hungarica, December 2007, Akademiai Kiado

    Oktay Duman

  75. Szász–Mirakjan type operators providing a better error estimation

    Article • Applied Mathematics Letters, December 2007, Elsevier

    Oktay Duman

  76. Regular matrix transformations and rates of convergence of positive linear operators

    Article • CALCOLO, September 2007, Springer Science + Business Media

    Oktay Duman

  77. A Korovkin type approximation theorems via $$\mathcal{I}$$ -convergence

    Article • Czechoslovak Mathematical Journal, March 2007, Institute of Mathematics, Czech Academy of Sciences

    Oktay Duman

  78. Statistical approximation of certain positive linear operators constructed by means of the Chan–Chyan–Srivastava polynomials

    Article • Applied Mathematics and Computation, November 2006, Elsevier

    Oktay Duman, Prof. Dr. Hari Mohan Srivastava

  79. Statistical rates on the multivariate approximation theory

    Article • Mathematical and Computer Modelling, November 2006, Elsevier

    Oktay Duman

  80. A Korovkin type approximation theorem in statistical sense

    Article • Studia Scientiarum Mathematicarum Hungarica, September 2006, Akademiai Kiado

    Oktay Duman

  81. Approximation of Continuous Periodic Functions Via Statistical Convergence

    Article • Computers & Mathematics with Applications, September 2006, Elsevier

    Oktay Duman

  82. Statistical approximation theorems by k-positive linear operators

    Article • Archiv der Mathematik, June 2006, Springer Science + Business Media

    Oktay Duman

  83. On integral type generalizations of positive linear operators

    Article • Studia Mathematica, January 2006, Institute of Mathematics, Polish Academy of Sciences

    Oktay Duman

  84. Rates of

    Article • Applied Mathematics Letters, December 2005, Elsevier

    Oktay Duman

  85. Rates of A-statistical convergence of approximating operators

    Article • CALCOLO, July 2005, Springer Science + Business Media

    Oktay Duman

  86. μ-Statistically Convergent Function Sequences

    Article • Czechoslovak Mathematical Journal, June 2004, Institute of Mathematics, Czech Academy of Sciences

    Oktay Duman

  87. The effects of matrix summability methodson bounds of function sequences

    Article • Applied Mathematics Letters, January 2004, Elsevier

    Oktay Duman

  88. STATISTICAL APPROXIMATION FOR PERIODIC FUNCTIONS

    Article • Demonstratio Mathematica, October 2003, De Gruyter

    Oktay Duman

  89. Statistical approximation by generalized Meyer-König and Zeller type operators

    Article • Studia Scientiarum Mathematicarum Hungarica, August 2003, Akademiai Kiado

    Oktay Duman

  90. A-Statistical convergence of approximating operators

    Article • Mathematical Inequalities & Applications, January 2003, Element d.o.o.

    Oktay Duman