Approximation with Szász-Chlodowsky operators employing general-Appell polynomials

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-20 DOI:10.1186/s13660-024-03105-5

Nusrat Raza, Manoj Kumar, M. Mursaleen

引用次数: 0

Abstract

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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使用通用阿佩尔多项式的 Szász-Chlodowsky 算子近似法

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.