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On the Intersection of Some Families of Means

Witkowski, Alfred (2006) On the Intersection of Some Families of Means. Research report collection, 9 (2).

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Abstract

Alzer and Ruscheweyh have shown that any mean that is simultaneously a Gini and a Stolarsky mean belongs to the family of power means. We extend this result by proving analogous result for a broad class of two-parameter means, called S-means.

Item Type: Article
Uncontrolled Keywords: extended mean values, Stolarsky means, Gini means, Heronian means, power means
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: 13 Feb 2012 06:36
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17479
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