Asymptotic Representations for Stolarsky, Gini and the Generalized Muirhead Means

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Chen, Chao-Ping (2008) Asymptotic Representations for Stolarsky, Gini and the Generalized Muirhead Means. Research report collection, 11 (4).

Abstract

We establish the asymptotic representations relating to Stolarsky, Gini and the generalized Muirhead means, and we prove the monotonicity results for the generalized logarithmic mean and the power mean, and we consider Schur-convexity of the generalized Muirhead mean. Finally, we pose three conjectures.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/18394
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Stolarsky mean, Gini mean, generalized Muirhead mean, asymptotic representation, Schur-convexity
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