保持线性函数的修正(p,q)-算子的近似性质

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.2

Jing Zhang, Wen-Tao Cheng, Feng-Lin Chen

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引用次数: 0

摘要

．本文在(p, q) -微积分的基础上，引入了一类修正的(p, q) -算子，该算子不仅保留常数函数，而且保留线性函数。然后建立了算子的矩，并讨论了算子的一些局部逼近定理。利用连续模研究了这些算子的收敛速度和加权逼近性。进一步研究了Voronovskaya型渐近公式。

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The approximation properties of modified (p,q)-Gamma operators preserving linear functions

. In this paper, we introduce a class of modiﬁed ( p , q ) -Gamma operators based on ( p , q ) -calculus that operators preserve not only constant functions but also linear functions. Then the moments of the operators are established and some local approximation theorems of these operators are discussed. Also, the rate of convergence and weighted approximation of these operators are studied by means of modulus of continuity. Furthermore, the Voronovskaya type asymptotic formula is investigated.

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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.