Browsing Department of Mathematics by Author "Özarslan, Mehmet Ali"

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Browsing Department of Mathematics by Author "Özarslan, Mehmet Ali"

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  • Approximation Properties of Jain-Stancu Operators 
    Özarslan, Mehmet Ali (UNIV NIS, FAC SCI MATH, 2016)
    In the present paper, we introduce the Stancu type Jain operators, which generalize the well-known Szasz-Mirakyan operators via Lagrange expansion. We investigate their weighted approximation properties and compute the ...
  • Approximation Properties of Schurer Type q-Bernstein Operators 
    Vedi, Tuba (Eastern Mediterranean University EMU, 2015-09)
    This thesis consist of five chapters. In the first chapter, the introduction is given. In the second chapter, we consider the Chlodowsky variant of q-Bernstein-Schurer-Stancu operators. We state the Korovkin type ...
  • Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators 
    Özarslan, Mehmet Ali; Vedi, Tuba (Springer International Publishing AG, 2015)
    In this paper, we introduce Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators on the unbounded domain. We should note that this generalization includes various kinds of operators which have not been introduced ...
  • Chlodowsky variant of q-Bernstein-Schurer-Stancu operators 
    Özarslan, Mehmet Ali; Vedi, Tuba (Springer International Publishing, 2014)
    It was Chlodowsky who considered non-trivial Bernstein operators, which help to approximate bounded continuous functions on the unbounded domain. In this paper, we introduce the Chlodowsky variant of q-Bernstein-Schurer-Stancu ...
  • Differential equations for the extended 2D Bernoulli and Euler polynomials 
    Özarslan, Mehmet Ali; Yılmaz, Banu (Springer International Publishing AG, 2013)
    In this paper, we introduce the extended 2D Bernoulli polynomials by t(alpha)/(e(t) - 1)(alpha) c(xt+ytj) = Sigma(infinity)(n=0) B-n((alpha,j)) (x,y,c) t(n)/n! and the extended 2D Euler polynomials by 2(alpha)(e(t) + ...
  • Exponential Operators and Hermite Type Polynomials 
    Baran, Gizem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-02)
    This thesis consists of five Chapters. Chapter 1 is devoted to the Introduction. We investigate some basic properties of the exponential operators, in Chapter 2. Chapter 3, gives the proves of some exponential operator ...
  • The extended Mittag-Leffler function and its properties 
    Özarslan, Mehmet Ali; Yılmaz, Banu (Springer International Publishing, 2014)
    In this paper, we present the extended Mittag-Leffler functions by using the extended Beta functions (Chaudhry et al. in Appl. Math. Comput. 159:589-602, 2004) and obtain some integral representations of them. The Mellin ...
  • Extension of gamma, beta and hypergeometric functions 
    Özergin, Emine; Özarslan, Mehmet Ali; Altın, Abdullah (Elsevier B.V, 2011)
    The main object of this paper is to present generalizations of gamma, beta and hypergeometric functions. Some recurrence relations, transformation formulas, operation formulas and integral representations are obtained for ...
  • Families of linear generating functions for polynomials in two variables 
    Özarslan, Mehmet Ali; Altın, Abdullah; Erkuş, Esra (Taylor & Francis, 2006)
    In the present paper, we derive various families of linear, mixed multilateral and multilinear generating functions for a class of polynomials in two variables. Some further results of the above types are also discussed.
  • Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials 
    Özarslan, Mehmet Ali (Springer International Publishing AG, 2013)
    In this paper, we introduce a unified family of Hermite-based Apostol-Bernoulli, Euler and Genocchi polynomials. We obtain some symmetry identities between these polynomials and the generalized sum of integer powers. We ...
  • Incomplete Pochhammer Ratios and Related Special Functions 
    Ustaoğlu, Ceren (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    This thesis includes five chapters. In the first chapter, general information and some preliminaries that used throughout the thesis are given. In Chapter 2, the incomplete Pochhammer ratios are defined in terms of the ...
  • Korovkin type approximation theorem for BBH type operators via J-convergence 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (Versıta, 2010)
    This paper provides a Korovkin type approximation theorem for a class of positive linear operators including Bleimann-Butzer and Hahn operators via J-convergence.
  • Korovkin type theorem for non‐tensor Balázs type Bleimann, Butzer and Hahn operators 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (WILEY-BLACKWELL, 2015)
    In this paper, we prove a certain Korovkin type approximation theorem by introducing new test functions. We introduce the non-tensor Balázs type Bleimann, Butzer and Hahn operators and give the approximation property by ...
  • Local approximation properties for certain King type operators 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (UNIV NIS, FAC SCI MATH, 2013)
    In this paper, we consider a certain King type operators which includes general families of Szasz-Mirakjan, Baskakov, Post-Widder and Stancu operators. By introducing two parameter family of Lipschitz type space, which ...
  • Local approximation results for Szász-Mirakjan type operators 
    Özarslan, Mehmet Ali; Duman, Oktay (SP Birkhäuser Verlag Basel, 2008)
    In this study, motivating our earlier work [O. Duman and M.A. Ozarslan, Szasz-Mirakjan type operators providing a better error estimation. Appl. Math. Lett. 20, 1184--1188 (2007)], we investigate the local approximation ...
  • New families of generating functions for certain class of three-variable polynomials 
    Özarslan, Mehmet Ali; Kaanoğlu, Cem (Elsevier ınc, 2011)
    Recently, Srivastava, Özarslan and Kaanoglu have introduced certain families of three and two variable polynomials, which include Lagrange and Lagrange-Hermite polynomials, and obtained families of two-sided linear generating ...
  • New Korovkin Type Theorem for Non-Tensor Meyer–König and Zeller Operators 
    Özarslan, Mehmet Ali (Springer International Publishing, 2016)
    In this paper, we introduce a certain class of linear positive operators via a generating function, which includes the non-tensor MKZ operators and their non-trivial extension. In investigating the approximation properties, ...
  • On a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomials 
    Özarslan, Mehmet Ali (Elsevier, 2014)
    In this paper, we introduce the class of polynomials Zn1,…,nj(α)(x1,…,xj;ρ1,…,ρj) suggested by the multivariate Laguerre polynomials. We give Schläfli’s contour integral representation and calculate the fractional order ...
  • On the ω-Multiple Charlier Polynomials 
    Baran, Gizem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2021-09)
    ABSTRACT: Appell polynomials are certain family having wide range of application areas from numerical analysis to analytic function theory. They were defined by Paul Emile Appell in 1880. The most famous Appell polynomials ...
  • q-Bernstein-Schurer-Kantorovich Operators 
    Özarslan, Mehmet Ali; Vedi, Tuba (Springer International Publishing, 2013)
    In the present paper, we introduce the q-Bernstein-Schurer-Kantorovich operators. We give the Korovkin-type approximation theorem and obtain the rate of convergence of this approximation by means of the first and the ...