{"title":"三参数的二元均值是Schur $m$-幂凸的充分必要条件","authors":"Hong-Ping Yin, Ximin Liu, Huan-Nan Shi, Feng Qi (祁锋)","doi":"10.47443/cm.2022.023","DOIUrl":null,"url":null,"abstract":"In this paper, the authors find necessary and sufficient conditions for a bivariate mean of three parameters to be the Schur m -power convex or the Schur m -power concave, by using techniques of the majorization theory. 2020 Mathematics Subject 26E60, 26A51.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Necessary and Sufficient Conditions for a Bivariate Mean of Three Parameters to Be the Schur $m$-Power Convex\",\"authors\":\"Hong-Ping Yin, Ximin Liu, Huan-Nan Shi, Feng Qi (祁锋)\",\"doi\":\"10.47443/cm.2022.023\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the authors find necessary and sufficient conditions for a bivariate mean of three parameters to be the Schur m -power convex or the Schur m -power concave, by using techniques of the majorization theory. 2020 Mathematics Subject 26E60, 26A51.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.47443/cm.2022.023\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.47443/cm.2022.023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Necessary and Sufficient Conditions for a Bivariate Mean of Three Parameters to Be the Schur $m$-Power Convex
In this paper, the authors find necessary and sufficient conditions for a bivariate mean of three parameters to be the Schur m -power convex or the Schur m -power concave, by using techniques of the majorization theory. 2020 Mathematics Subject 26E60, 26A51.