圆环域上次调和函数的hermite - hadamard型不等式

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2023-09-26 DOI:10.1080/01630563.2023.2259198

Mohamed Jleli, Bessem Samet

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引用次数: 0

摘要

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。

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

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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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.