{"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":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4000,"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\":48938,\"journal\":{\"name\":\"Contributions To Discrete Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Contributions To Discrete Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.47443/cm.2022.023\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Contributions To Discrete Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.47443/cm.2022.023","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","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.
期刊介绍:
Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.