模空间中非线性采样Kantorovich算子的收敛性结果

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-08-04 DOI:10.1080/01630563.2023.2241143

D. Costarelli, Maria Gabriella Natale, G. Vinti

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引用次数: 2

摘要

摘要本文研究了一类非线性离散算子，即非线性多元采样Kantorovich算子在模空间中的收敛性。在Musielak-Orlicz空间中，在加权Orlicz空间中，以及在特殊情况下的Orlicz空间中的收敛结果。此外，还给出并讨论了没有积分表示的由模块构成的函数空间。

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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Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces

Abstract In the present paper, convergence in modular spaces is investigated for a class of nonlinear discrete operators, namely the nonlinear multivariate sampling Kantorovich operators. The convergence results in the Musielak-Orlicz spaces, in the weighted Orlicz spaces, and in the Orlicz spaces follow as particular cases. Even more, spaces of functions equipped by modulars without an integral representation are presented and discussed.

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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.