Results 1 to 10 of about 63 (55)
Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators [PDF]
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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On the Chlodowsky variant of Jakimovski-Leviatan-Păltănea Operators [PDF]
, 2021 In the present paper, our purpose is to generalize the Jakimovski-Leviatan-Paltanea operators in the sense of Chlodowsky. After introducing the new operators we first obtain the moments of these operators in order to establish the convergency properties ...
Dalmanoglu, Ozge +3 more
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A note on the convergence of Phillips operators by the sequence of functions via q-calculus
Demonstratio Mathematica, 2022 The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators.
Kiliçman Adem +2 more
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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
wiley +1 more source
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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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, we introduce Stancu‐type modification of generalized Baskakov‐Szász operators. We obtain recurrence relations to calculate moments for these new operators. We study several approximation properties and q‐statistical approximation for these operators.
Qing-Bo Cai +3 more
wiley +1 more source
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We construct a novel family of summation‐integral‐type hybrid operators in terms of shape parameter α ∈ [0,1] in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of smoothness.
Ming-Yu Chen +5 more
wiley +1 more source
Approximation Properties of a New Gamma Operator
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 This paper deals with a kind of modification of the classical Gamma operators defined on the semiaxis which holds fixed functions 1 and e−μx (μ > 0). We study the uniform approximation effect and the direct results. We also investigate the weighted A‐statistical convergence. Finally, the Voronovskaja type asymptotic formula is given.
Jieyu Huang +2 more
wiley +1 more source
On approximation process by certain modified Dunkl generalization of Szasz-Beta type operators [PDF]
, 2019 Karateke, Seda (Arel Author)In this paper, we give a generalization of the Szasz-Beta type operators generated by Dunkl generalization of exponential function and obtain convergence properties of these operators by using Korovkin's theorem and weighted ...
Büyükyazıcı, İbrahim +2 more
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Approximation Properties of a New Type of Gamma Operator Defined with the Help of k‐Gamma Function
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 With the help of the k‐Gamma function, a new form of Gamma operator is given in this article. Voronovskaya type theorem, weighted approximation, rates of convergence, and pointwise estimates have been found for approximation features of the newly described operator.
Gurhan Icoz, Seda Demir, Yusuf Gurefe
wiley +1 more source