A Relation of Weak Majorization and its Applications to Certain Inequalities for Means

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Shi, Huan-Nan and Wu, Shan-He (2009) A Relation of Weak Majorization and its Applications to Certain Inequalities for Means. Research report collection, 12 (1).

Abstract

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.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17687
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords weak majorization, inequality, Schur-concavity, elementary symmetric function, power mean, arithmetic mean, geometric mean
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