文献类型：期刊文献

英文题名：A relation of weak majorization and its applications to certain inequalities for means

作者：Wu, Shan-He[1];Shi, Huan-Nan[2]

第一作者：Wu, Shan-He

通讯作者：Wu, SH[1]

机构：[1]Longyan Univ, Dept Math & Comp Sci, Longyan 364012, Fujian, Peoples R China;[2]Beijing Union Univ, Teachers Coll, Dept Elect Informat, Beijing 100011, Peoples R China

第一机构：Longyan Univ, Dept Math & Comp Sci, Longyan 364012, Fujian, Peoples R China

通讯机构：[1]corresponding author), Longyan Univ, Dept Math & Comp Sci, Longyan 364012, Fujian, Peoples R China.

年份：2011

卷号：61

期号：4

起止页码：561-570

外文期刊名：MATHEMATICA SLOVACA

收录：;Scopus(收录号：2-s2.0-79959909376);WOS:【SCI-EXPANDED(收录号:WOS:000292449300003)】；

基金：This work was supported, in part, by the Foundation of Scientific Research Project of Fujian Province Education Department of China under Grant JK2010058, and, in part, by the Scientific Research Common Program of Beijing Municipal Commission of Education under Grant KM201111417006. Both of the authors are grateful to the referees for their helpful and constructive comments which enhanced this paper.

语种：英文

外文关键词：weak majorization; inequality; Schur-concavity; elementary symmetric function; power mean; arithmetic mean; geometric mean

摘要：A relation of weak majorization for n-dimensional real vectors is established, the result is then used to derive some inequalities involving the power mean, the arithmetic mean and the geometric mean in n variables.