On Hermite-Hadamard-Type Inequalities for Subharmonic Functions Over Circular Ring Domains

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-09-26 DOI:10.1080/01630563.2023.2259198

Mohamed Jleli, Bessem Samet

引用次数: 0

Abstract

AbstractIn this note, we study the so-called Hermite-Hadamard inequality for the class of subharmonic functions. We first prove an inequality of this type for subharmonic functions over circular ring domains. Next, a new Hermite-Hadamard-type inequality over a disk is deduced. Moreover, we introduce the class of subharmonic functions on the coordinates, which includes the class of convex functions on the coordinates, and establish several new integral inequalities for this class of functions over various product domains: product of disks, product of circular rings and product of a disk and a circular ring.Keywords: Circular ringconvex functionsHermite Hadamard inequalitysubharmonic functionssubharmonic functions on the coordinatesMATHEMATICS SUBJECT CLASSIFICATION: 26B2526D1565D32 Disclosure statementThis work does not have any conflicts of interest.Additional informationFundingThe first author is supported by Researchers Supporting Project number (RSP2023R57), King Saud University, Riyadh, Saudi Arabia.

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圆环域上次调和函数的hermite - hadamard型不等式

摘要本文研究了一类次调和函数的Hermite-Hadamard不等式。首先证明了圆环域上次调和函数的一个不等式。其次，推导了一个新的圆盘上的hermite - hadamard型不等式。此外，我们还引入了包括凸函数在内的坐标系上的次调和函数，并建立了这类函数在不同积域上的积分不等式:盘积、环积、盘与环积。关键词:圆凸函数shermite Hadamard不等式次调和函数坐标上的次调和函数数学学科分类:26B2526D1565D32公开声明本工作无任何利益冲突。本文第一作者由沙特阿拉伯利雅得沙特国王大学研究人员支持项目编号(RSP2023R57)资助。

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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.