一个涉及穆尔黑德不等式的定理和算法

IF 1.1 3区数学 Q1 MATHEMATICS Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-38

Xu Jia, Yongwei Yao, Xiao Ling Qin

{"title":"一个涉及穆尔黑德不等式的定理和算法","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":"{\"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}","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

摘要

．设a, b∈rn是列向量，(u, v)是向量u和v在rn上的内积。设G∧GL (n, R)是紧矩阵群。对于A∈G和G上的连续函数f，积分(cid:2) G f (A) dA是紧群G的不变积分。在本文中，我们研究了这个不等式

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

A theorem and an algorithm involving Muirhead's inequality

. 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

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

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.