{"title":"On Hermite-Hadamard-Type Inequalities for Subharmonic Functions Over Circular Ring Domains","authors":"Mohamed Jleli, Bessem Samet","doi":"10.1080/01630563.2023.2259198","DOIUrl":null,"url":null,"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.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"61 1","pages":"0"},"PeriodicalIF":1.4000,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Numerical Functional Analysis and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/01630563.2023.2259198","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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.
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.
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