{"title":"对称和凸体上Schur凸函数的多重积分不等式","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":"{\"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}","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}
Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies
. 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.
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