On the Modification of Mellin Convolution Operator and Its Associated Information Potential

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-07-27 DOI:10.1080/01630563.2023.2239326

Fırat Özsaraç, A. Acu, A. Aral, I. Raşa

引用次数: 1

Abstract

Abstract In this paper, we define a new generalization of Mellin-Gauss-Weierstrass operators that preserve logarithmic functions. We compute logarithmic moments of the new operators and describe the behavior of the modified operators in some weighted spaces. The weighted approximation properties of operators including weighted approximation and weighted quantitative type approximation properties, using weighted logarithmic modulus of continuity, are presented. Using the Mellin-Gauss-Weierstrass kernel as a logarithmic probability density, we study the associated information potential, the expected value and the variance .

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Mellin卷积算子的修正及其相关信息势

摘要本文定义了保持对数函数的Mellin-Gauss-Weierstrass算子的一种新推广。我们计算了新算子的对数矩，并描述了修正算子在一些加权空间中的行为。利用连续的加权对数模，给出了算子的加权逼近性质，包括加权逼近性质和加权定量型逼近性质。利用Mellin-Gauss-Weierstrass核作为对数概率密度，研究了相关的信息势、期望值和方差。

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.