On the Intersection of Some Families of Means

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


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
URI https://vuir.vu.edu.au/id/eprint/17479
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords extended mean values, Stolarsky means, Gini means, Heronian means, power means
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