Convergence estimates for some composition operators

IF 17.7 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-06-02 DOI:10.33205/cma.1474535

Vijay Gupta

引用次数: 0

Abstract

There are different methods available in literature to construct a new operator. One of the methods to construct an operator is the composition method. It is known that Baskakov operators can be achieved by composition of Post Widder $P_n$ and Sz\'asz-Mirakjan $S_n$ operators in that order, which is a discretely defined operator. But when we consider different order composition namely $S_n\circ P_n$, we get another different operator. Here we study such and we establish some convergence estimates for the composition operators $S_n\circ P_n$, along with difference with other operators. Finally we found the difference between two compositions by considering numeric values.

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某些组成算子的收敛估计

文献中有不同的方法来构造新的算子。其中一种构建算子的方法是组合法。众所周知，巴斯卡科夫算子可以通过后维德算子 $P_n$ 和 Sz\'asz-Mirakjan 算子 $S_n$ 按顺序组成来实现，这是一个离散定义的算子。但当我们考虑不同阶的组成，即 $S_n\circ P_n$ 时，我们会得到另一个不同的算子。在此，我们将对这种情况进行研究，并为组成算子 $S_n\circ P_n$ 建立一些收敛估计，以及与其他算子的差值。最后，我们通过考虑数值来发现两个组成之间的差异。

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.