{"title":"Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies","authors":"S. Dragomir","doi":"10.4208/ata.oa-2019-0023","DOIUrl":null,"url":null,"abstract":". In this paper, by making use of Divergence theorem for multiple integrals, we establish some integral inequalities for Schur convex functions de(cid:133)ned on bodies B (cid:26) R n that are symmetric, convex and have nonempty interiors. Examples for three dimensional balls are also provided.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"25 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis in Theory and Applications","FirstCategoryId":"95","ListUrlMain":"https://doi.org/10.4208/ata.oa-2019-0023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. In this paper, by making use of Divergence theorem for multiple integrals, we establish some integral inequalities for Schur convex functions de(cid:133)ned on bodies B (cid:26) R n that are symmetric, convex and have nonempty interiors. Examples for three dimensional balls are also provided.