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Refinement of an Inequality for the Generalized Logarithmic Mean

Huan-nan, Shi (2007) Refinement of an Inequality for the Generalized Logarithmic Mean. Research report collection, 10 (1).

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Abstract

In this article, we show that the generalized logarithmic mean is strictly Schur- convex function for p > 2 and strictly Schur-concave function for p < 2 on R₊². And then we give a refinement of an inequality for the generalized logarithmic mean inequality using a simple majoricotion relation of the vector.

Item Type: Article
Uncontrolled Keywords: inequality, refinement, generalized logarithmic mean, strictly Schur-convex function, strictly Schur-concave function
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: 10 Feb 2012 04:51
Last Modified: 23 May 2013 16:55
URI: http://vuir.vu.edu.au/id/eprint/18284
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