A relation of weak majorization and its applications to certain inequalities for means

Mathematica Slovaca

Huan-Nan Shi¹  Shan-He Wu¹ 

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

DOI  :  10.2478/s12175-011-0028-z

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 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.

【 授权许可】

Unknown