Yazar "Akdag, Sevda" seçeneğine göre listele

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    f-Statistical approximation to Bogel-type continuous functions
    (Tbilisi Centre Math Sci, 2021) Akdag, Sevda
    In this paper, considering the concept of f-statistical convergence which is a generalization of statistical convergence and is intermediate between the ordinary convergence and the statistical convergence, we obtain a f-statistical approximation theorem for sequences of positive linear operators defined on the space of all real valued B-continuous functions on a compact subset of the real line. Furthermore, we compute the rates of f-statistical convergence with the help mixed modulus of smoothness.
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    Korovkin Type Approximation Theorem via A2I-Summability Methods
    (Univ Nis, Fac Sci Math, 2016) Dutta, Sudipta; Akdag, Sevda; Das, Pratulananda
    In this paper we consider the notion of A(2)(I)-summability for real double sequences which is an extension of the notion of A(I)-summability for real single sequences introduced by Savas, Das and Dutta. We primarily apply this new notion to prove a Korovkin type approximation theorem. In the last section, we study the rate of A(2)(I)-summability.
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    Statistical e-convergence of double sequences on probabilistic normed spaces
    (Univ Babes-Bolyai, 2019) Akdag, Sevda
    The concept of statistical convergence for double sequences on probabilistic normed spaces was presented by Karakus and Demirci in 2007. The purpose of this paper is to introduce the concept of statistical e-convergence for double sequences and study some fundamental properties of statistical e-convergence for double sequences on probabilistic normed spaces.
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    SUMMATION PROCESS OF POSITIVE LINEAR OPERATORS IN TWO-DIMENSIONAL WEIGHTED SPACES
    (Walter De Gruyter Gmbh, 2015) Akdag, Sevda
    In this paper, using an A-summation process we give a theorem of the Korovkin type for double sequences of positive linear operators acting from a weighted space C-p1 into B-p2. We also give a quantitative version of our main theorem with the help of the weighted modulus of continuity. (C) 2015 Mathematical Institute Slovak Academy of Sciences
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    Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems
    (Springer Basel Ag, 2017) Akdag, Sevda
    In this paper, the concepts of weighted statistical pointwise convergence, weighted statistical uniform convergence and weighted equi-statistical convergence are introduced. Then, using weighted equi-statistical convergence, a general Korovkin type theorem is obtained. Also, an example such that our new approximation result works but its classical case does not work is constructed.