{"title":"利用弱次多数构造凸函数的实幂不等式","authors":"M. Ighachane, Mohammed Bouchangour","doi":"10.7153/oam-2023-17-16","DOIUrl":null,"url":null,"abstract":". The main goal of this article, is to develop a general method for improving some new real power inequalities for convex and log-convex functions, which extends and uni fi es two recent and important results due to M. Sababheh [Linear Algebra Appl. 506 (2016), 588– 602] and D. Q. Huy et al. [Linear Algebra Appl. 656 (2023), 368–384]. Then by selecting some appropriate convex and log-convex functions, we obtain new mean inequalities for scalars and matrices, some new re fi nements and reverses of the Heinz and H¨older type inequalities for matrices. We get also some new and re fi ned trace and numerical radius inequalities. Mathematics","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Some refinements of real power form inequalities for convex functions via weak sub-majorization\",\"authors\":\"M. Ighachane, Mohammed Bouchangour\",\"doi\":\"10.7153/oam-2023-17-16\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The main goal of this article, is to develop a general method for improving some new real power inequalities for convex and log-convex functions, which extends and uni fi es two recent and important results due to M. Sababheh [Linear Algebra Appl. 506 (2016), 588– 602] and D. Q. Huy et al. [Linear Algebra Appl. 656 (2023), 368–384]. Then by selecting some appropriate convex and log-convex functions, we obtain new mean inequalities for scalars and matrices, some new re fi nements and reverses of the Heinz and H¨older type inequalities for matrices. We get also some new and re fi ned trace and numerical radius inequalities. Mathematics\",\"PeriodicalId\":56274,\"journal\":{\"name\":\"Operators and Matrices\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Operators and Matrices\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/oam-2023-17-16\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operators and Matrices","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/oam-2023-17-16","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some refinements of real power form inequalities for convex functions via weak sub-majorization
. The main goal of this article, is to develop a general method for improving some new real power inequalities for convex and log-convex functions, which extends and uni fi es two recent and important results due to M. Sababheh [Linear Algebra Appl. 506 (2016), 588– 602] and D. Q. Huy et al. [Linear Algebra Appl. 656 (2023), 368–384]. Then by selecting some appropriate convex and log-convex functions, we obtain new mean inequalities for scalars and matrices, some new re fi nements and reverses of the Heinz and H¨older type inequalities for matrices. We get also some new and re fi ned trace and numerical radius inequalities. Mathematics
期刊介绍:
''Operators and Matrices'' (''OaM'') aims towards developing a high standard international journal which will publish top quality research and expository papers in matrix and operator theory and their applications. The journal will publish mainly pure mathematics, but occasionally papers of a more applied nature could be accepted. ''OaM'' will also publish relevant book reviews.
''OaM'' is published quarterly, in March, June, September and December.