{"title":"CERTAIN WEIGHTED MEAN INEQUALITY","authors":"Namkwon Kim","doi":"10.12941/JKSIAM.2014.18.279","DOIUrl":null,"url":null,"abstract":"In this paper, we report a new sharp inequality of interpolation type in R n . This inequality is for controlling weighted average of a function via L n norm of the gradient of a function together with its' certain exponential norm.","PeriodicalId":41717,"journal":{"name":"Journal of the Korean Society for Industrial and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2014-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Korean Society for Industrial and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12941/JKSIAM.2014.18.279","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
In this paper, we report a new sharp inequality of interpolation type in R n . This inequality is for controlling weighted average of a function via L n norm of the gradient of a function together with its' certain exponential norm.
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