使用通用阿佩尔多项式的 Szász-Chlodowsky 算子近似法

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-02-20 DOI:10.1186/s13660-024-03105-5

Nusrat Raza, Manoj Kumar, M. Mursaleen

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引用次数: 0

摘要

本文利用通用阿佩尔多项式探讨了 Szász 算子的 Chlodowsky 型扩展。这些算子的收敛性质是通过使用普遍的 Korovkin 型性质建立的，近似阶数是使用经典的连续性模数确定的。此外，还推导了这些算子的加权 $\mathfrak{B}$ 统计收敛性和统计加权 $\mathfrak{B}$ 可求和性。理论结果得到了数值和图形实例的支持。

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Approximation with Szász-Chlodowsky operators employing general-Appell polynomials

This article explores a Chlodowsky-type extension of Szász operators using the general-Appell polynomials. The convergence properties of these operators are established by employing the universal Korovkin-type property, and the order of approximation is determined using the classical modulus of continuity. Additionally, the weighted $\mathfrak{B}$ -statistical convergence and statistically weighted $\mathfrak{B}$ -summability properties of the operators are derived. Theoretical results are supported by numerical and graphical examples.

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来源期刊

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.