Browsing 08 Faculty of Arts and Sciences by Author "Aktuğlu, Hüseyin"

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Browsing 08 Faculty of Arts and Sciences by Author "Aktuğlu, Hüseyin"

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  • A-Statistical Convergence 
    Yousuf, Saadia (Eastern Mediterranean University EMU - Doğu Akdeniz Üniversitesi (DAÜ), 2016-06)
    The present study is conducted to study a new type convergence, called A-statistical convergence. In the beginning of the study, the concept of infinite, non-negative regular matrices is introduced. Some basic properties ...
  • Convergent Sequences and Statistical Limit Points 
    Baytunç, Erdem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    In the present thesis, we prepare a summary of the existing theory of statistical, lacunary statistical, 𝜆���-statistical, 𝐴���-statistical limit points and some related topics for sequences of real numbers by using ...
  • Equistatistical convergence 
    Gezer, Halil (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2013-01)
    In this thesis, we focus on di↵erent types of equistatistical convergences. We define some new type of convergences such as lacunary equistatistical convergence, !-equistatistical convergence, A-equistatistical convergence, ...
  • 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 ...
  • Matrix Summability Methods 
    Dağbaşı, Gizem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020-01)
    The purpose of this study is to prepare a brief summary of some matrix summability methods. This thesis consists of four chapters. In the first chapter, a general introduction to the matrix summability method is mentioned. In ...
  • 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 ...
  • 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 ...
  • 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 ...