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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  • q-Multiple Appell Polynomials 
    Çil, Merve (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2021-02)
    In 1880, Paul Emile Appell introduced a certain kind of sequence which is named Appell polynomials in the literature. Besides the trivial examples, the most famous Appell polynomials are the Hermite, Bernoulli, and Euler ...
  • Quantitative global estimates for generalized double Szasz-Mirakjan operators 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (HINDAWI PUBLISHING CORPORATION, 2013)
    We introduce the generalized double Szász-Mirakjan operators in this paper. We obtain several quantitative estimates for these operators. These estimates help us to determine some function classes (including some Lipschitz-type ...
  • Rates of Ideal Convergence for Approximation Operators 
    Özarslan, Mehmet Ali; Duman, Oktay (SP Birkhäuser Verlag Basel, 2010)
    In this paper, we study a general Korovkin-type approximation theory by using the notion of ideal convergence which includes many convergence methods, such as, the usual convergence, statistical convergence, A-statistical ...
  • A set of finite order differential equations for the Appell polynomials 
    Özarslan, Mehmet Ali; Yılmaz, Banu (Elsevier Science BV, 2014)
    Let { (x)}n=0 denote the set of Appell polynomials which includes, among others, Hermite, Bernoulli, Euler and Genocchi polynomials. In this paper, by introducing the generalized factorization method, for each kâ̂̂N, we ...
  • Singular integral equation involving a multivariable analog of Mittag-Leffler function 
    Gaboury, Sebastien; Özarslan, Mehmet Ali (Springer International Publishing, 2014)
    Motivated by the recent work of the second author (Özarslan in Appl. Math. Comput. 229:350-358, 2014), we present, in this paper, some fractional calculus formulas for a mild generalization of the multivariable Mittag-Leffler ...
  • Smoothness Properties of Modified Bernstein-Kantorovich Operators 
    Özarslan, Mehmet Ali; Duman, Oktay (Taylor & Francis, 2016)
    In this article, we consider modified Bernstein-Kantorovich operators and investigate their approximation properties. We show that the order of approximation to a function by these operators is at least as good as that of ...
  • Solvability of differential equations of order 2 < alpha <= 3 involving the p-Laplacian operator with boundary conditions 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (Springer International Publishing AG, 2013)
    In this paper, we study the existence of solutions for non-linear fractional differential equations of order 2 < α ≤ 3 involving the p-Laplacian operator with various boundary value conditions including an anti-periodic ...
  • Some Results on Laguerre Type and Mittag-Leffler Type Functions 
    Kürt, Cemaliye (Eastern Mediterranean University EMU - Doğu Akdeniz Üniversitesi (DAÜ), 2017-09)
    This thesis includes four chapters. In the first chapter, we give general information and some preliminaries that is used throughout the thesis. In Chapter 2, by defining a new class of 2D-Mittag-Leffler functions E(a;b;h;x ...
  • Two-parameter Srivastava polynomials and several series identities 
    Kaanoğlu, Cem; Özarslan, Mehmet Ali (Springer Science & Business Media, 2013)
    In the present paper, we introduce two-parameter Srivastava polynomials in one, two and three variables by inserting new indices, where in the special cases they reduce to (among others) Laguerre, Jacobi, Bessel and Lagrange ...
  • Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties 
    Özarslan, Mehmet Ali; Bozer, Mehmet (Springer International Publishing AG, 2013)
    In this paper we introduce the unification of Bernstein and Bleimann-Butzer-Hahn basis via the generating function. We give the representation of this unified family in terms of Apostol-type polynomials and Stirling numbers ...
  • Weighted αβ-statistical convergence of Kantorovich-Mittag-Leffler operators 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (Springer Verlag, 2016)
    In this paper we introduce Kantorovich variant of the Mittag-Leffler operators including the modified Kantorovich-Szász-Mirakjan operators. We give αβ-statistical approximation theorems for these operators in various ...