Statistical weighted A-summability with application to Korovkin’s type approximation theorem [PDF]
Journal of Inequalities and Applications, 2016 We introduce the notion of statistical weighted A-summability of a sequence and establish its relation with weighted A-statistical convergence. We also define weighted regular matrix and obtain necessary and sufficient conditions for the matrix A to be ...
Syed Abdul Mohiuddine
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Approximation by (p,q) $(p,q)$-Lupaş–Schurer–Kantorovich operators [PDF]
Journal of Inequalities and Applications, 2018 In the current paper, we examine the (p,q) $(p,q)$-analogue of Kantorovich type Lupaş–Schurer operators with the help of (p,q) $(p,q)$-Jackson integral.
Kadir Kanat, Melek Sofyalıoğlu
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Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators
Journal of Numerical Analysis and Approximation Theory, 2021 In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
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A new kind of variant of the Kantorovich type modification operators introduced by D. D. Stancu
Results in Applied Mathematics, 2021 In the present article we investigate a variant of the Kantorovich type modification defined by Kajla (2018) i.e. we introduce a function ζ(ϰ)in the operators defined by Kajla (2018) s.t.
Abhishek Kumar
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TRIANGULAR A−STATISTICAL RELATIVE UNIFORM CONVERGENCE FOR DOUBLE SEQUENCES OF POSITIVE LINEAR OPERATORS [PDF]
, 2021 In this paper, we introduce the concept of triangular A-statistical relative convergence for double sequences of functions defined on a compactsubset of the real two-dimensional space.
Çınar, Selin
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Statistical Convergence via q-Calculus and a Korovkin’s Type Approximation Theorem
Axioms, 2022 In this paper, we define and study q-statistical limit point, q-statistical cluster point, q-statistically Cauchy, q-strongly Cesàro and statistically C1q-summable sequences.
Mohammad Ayman Mursaleen +1 more
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Statistical Korovkin-type theorem for monotone and sublinear operators [PDF]
, 2023 In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a, b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples.
IANCU, Ionu¸t T.
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Generalization of Szász operators involving multiple Sheffer polynomials [PDF]
, 2023 The present work deals with the mathematical investigation of some generalizations of the Szász operators. In this work, the multiple Sheffer polynomials are introduced.
Ali, Mahvish, Paris, Richard B.
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On a Family of Parameter‐Based Bernstein Type Operators with Shape‐Preserving Properties
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator. Additionally, we provide a proof of the convergence rate and present a revised version of the Voronovskaja theorem specifically tailored for this newly defined ...
Bahareh Nouri +2 more
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The Approximation of a Modified Baskakov Operator
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 Because of their simple form and high quality, linear arithmetical operators, particularly linear positive operators, are very popular. The number of in‐depth studies on linear operator approximation is extensive, and the majority of the published material falls into four categories: types and structures of operators, approximation of operators, order ...
Ma Yingdian, Wang Weimeng, Naeem Jan
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