Approximation properties of the Riemann-Liouville fractional integral type Szász-Mirakyan-Kantorovich operators

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.7153/jmi-2022-16-86

Nazim Mahhmudov, M. Kara

引用次数: 1

Abstract

. In the present paper, we introduce the Riemann-Liouville fractional integral type Sz´asz- Mirakyan-Kantorovich operators. We investigate the order of convergence by using Lipschitz-type maximal functions, second order modulus of smoothness and Peetre’s K-functional. Weigh- ted approximation properties of these operators in terms of modulus of continuity have been dis-cussed. Then, Vorononskaja-type type theorem are obtained. Moreover, bivariate the Riemann- Liouville fractional integral type Sz´asz-Mirakyan-Kantorovich operators are constructed. The last section is devoted to graphical representation and numerical results for these operators.

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Riemann-Liouville分数积分型Szász-Mirakyan-Kantorovich算子的近似性质

。本文引入了Riemann-Liouville分数阶积分型Sz´asz- Mirakyan-Kantorovich算子。利用lipschitz型极大函数、二阶光滑模和Peetre的k泛函研究了收敛的阶数。讨论了这些算子在连续模方面的加权逼近性质。然后，得到了vorononskaja型型定理。此外，构造了二元Riemann- Liouville分数积分型Sz´asz-Mirakyan-Kantorovich算子。最后一节专门讨论这些运算符的图形表示和数值结果。

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.

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