{"title":"A theorem and an algorithm involving Muirhead's inequality","authors":"Xu Jia, Yongwei Yao, Xiao Ling Qin","doi":"10.7153/jmi-2023-17-38","DOIUrl":null,"url":null,"abstract":". Let a , b ∈ R n be column vectors, and ( u , v ) be the inner product of vectors u and v on R n . Let G ⊂ GL ( n , R ) be a compact matrix group. For A ∈ G and a continue function f on G , the integral (cid:2) G f ( A ) dA is the invariant integral of the compact group G . In this paper, we study the inequality","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Inequalities","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/jmi-2023-17-38","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. Let a , b ∈ R n be column vectors, and ( u , v ) be the inner product of vectors u and v on R n . Let G ⊂ GL ( n , R ) be a compact matrix group. For A ∈ G and a continue function f on G , the integral (cid:2) G f ( A ) dA is the invariant integral of the compact group G . In this paper, we study the inequality
期刊介绍：
The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts.
''JMI'' is published quarterly; in March, June, September, and December.
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