{"title":"Strongly convex matrix functions","authors":"Takashi Sano","doi":"10.1007/s44146-024-00108-y","DOIUrl":null,"url":null,"abstract":"<div><p>In this article, we study strongly convex matrix functions and the strong Davis-Sherman condition to see their relations, corresponding to those of strongly operator-convex functions in Brown (Can J Math 40:865–988, 1988; Ann Funct Anal 9:41–55, 2018)and in Brown and Uchiyama(Linear Algebra Appl) Linear Algebra Appl 553:238–251, 2018).</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 3-4","pages":"637 - 647"},"PeriodicalIF":0.5000,"publicationDate":"2024-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACTA SCIENTIARUM MATHEMATICARUM","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s44146-024-00108-y","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, we study strongly convex matrix functions and the strong Davis-Sherman condition to see their relations, corresponding to those of strongly operator-convex functions in Brown (Can J Math 40:865–988, 1988; Ann Funct Anal 9:41–55, 2018)and in Brown and Uchiyama(Linear Algebra Appl) Linear Algebra Appl 553:238–251, 2018).