λ-Bernstein Operators Based on Pólya Distribution

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-03-16 DOI:10.1080/01630563.2023.2185896

Km. Lipi, N. Deo

引用次数: 0

Abstract

Abstract In this manuscript, we propose a Pólya distribution-based generalization of -Bernstein operators. We establish some fundamental results for convergence as well as order of approximation of the proposed operators. We present theoretical result and graph to demonstrate the proposed operator’s intriguing ability to interpolate at the interval’s end points. In order to illustrate the convergence of proposed operators as well as the effect of changing the parameter “ ” we provide a variety of results and graphs as our paper’s conclusion.

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基于Pólya分布的λ-Bernstein算子

在本文中，我们提出了一种基于Pólya分布的-Bernstein算子推广方法。我们建立了所提算子的收敛性和近似阶的一些基本结果。我们给出了理论结果和图来证明所提出的算子在区间端点处插值的有趣能力。为了说明所提算子的收敛性以及改变参数“”的效果，我们提供了各种结果和图表作为本文的结论。

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.