A Type of Mean Values of Several Positive Numbers with Two Parameters

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Xiao, Zhen-Gang, Zhang, Zhi-Hua and Qi, Feng (2006) A Type of Mean Values of Several Positive Numbers with Two Parameters. Research report collection, 9 (2).

Abstract

In this article, a type of mean values of several positive numbers with two parameters are defined by using the generalized Vandermonde determinant, some basic properties of them are given, and several inequalities for some mean values including the generalized symmetric means are established.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17490
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords mean values, Vandermonde determinant, inequality, monotonicity, basic property, generalized symmetric mean
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