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Asymptotic Representations for Stolarsky, Gini and the Generalized Muirhead Means

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

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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
Uncontrolled Keywords: Stolarsky mean, Gini mean, generalized Muirhead mean, asymptotic representation, Schur-convexity
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: 09 Feb 2012 23:15
Last Modified: 23 May 2013 16:55
URI: http://vuir.vu.edu.au/id/eprint/18394
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