Results 11 to 20 of about 218 (81)
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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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
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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
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Nonlinear Bivariate Bernstein–Chlodowsky Operators of Maximum Product Type
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The positive nonlinear operators with maximum and product were introduced by Bede. In this study, nonlinear maximum product type of bivariate Bernstein–Chlodowsky operators is defined and the approximation properties are investigated with the help of new definitions.
Özge Özalp Güller +3 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
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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
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this article, our main purpose is to define the (p, q)‐variant of Szász‐Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function. We estimate moments and establish some direct results of the aforementioned operators. Moreover, we establish some approximation results in weighted spaces.
Abdullah Alotaibi, Tuncer Acar
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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
doaj +1 more source
Differences of Positive Linear Operators on Simplices
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 The aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators. The estimates are given in terms of moduli of smoothness and K‐functionals. Several applications and examples illustrate the general results.
Ana-Maria Acu +3 more
wiley +1 more source