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Schur-Convexity of a Mean of Convex Function

Shi, Huan-Nan and Gu, Chun and Li, Da-Mao (2006) Schur-Convexity of a Mean of Convex Function. Research report collection, 9 (4).

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Abstract

The Schur-convexity on the upper and the lower limit of the integral for a mean of the convex function is researched. As applications, a generalized logarithmic mean with a parameter is obtained and a relevant double inequality that is a extension of the known inequality is established.

Item Type: Article
Uncontrolled Keywords: Schur-convex function, inequality, Hadamard's inequality, generalized logarithmic mean
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: 17 Nov 2011 02:55
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17516
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