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Notes on the Schur-convexity of the Extended Mean Values

Qi, Feng, Sándor, József, Dragomir, Sever S and Sofo, Anthony (2002) Notes on the Schur-convexity of the Extended Mean Values. RGMIA research report collection, 5 (1).

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Abstract

In this article, the Schur-convexities of the weighted arithmetic mean of function and the extended mean values are proved. Moreover, some inequalities involving the arithmetic mean, the harmonic mean, the logarithmic mean, and comparison between the extended mean values and the generalized weighted mean with two parameters and constant weight are obtained.

Item Type: Article
Uncontrolled Keywords: extended mean values, Schur-convexity, inequality, generalized weighted mean values, weighted arithmetic mean of function
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 30 Aug 2012 03:51
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17693
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