Research Repository

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

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).

[img] Text
WeakMajorizationInequality.pdf
Restricted to Repository staff only

Download (195kB)

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
Uncontrolled Keywords: weak majorization, inequality, Schur-concavity, elementary symmetric function, power mean, arithmetic mean, geometric mean
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 09 Feb 2012 21:50
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17687
ePrint Statistics: View download statistics for this item

Repository staff only

View Item View Item

Search Google Scholar