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Schur-Convexity and Schur-Geometric Convexity for a Class of the Means

Li, Da-Mao and Shi, Huan-Nan (2006) Schur-Convexity and Schur-Geometric Convexity for a Class of the Means. Research report collection, 9 (4).

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Abstract

Two new means of two variables are defined by the hyperbolic and the arc-hyperbolic function composite function, and their Schur-convex and Schur-Geometric convex properties are discussed. As application, a new chain of inequalities is established.

Item Type: Article
Uncontrolled Keywords: hyperbolic function, arc-hyperbolic function, mean of two variables, Schur-convexity, Schur-geometric convexity, inequality
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 02:53
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17508
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