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

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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).

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
URI https://vuir.vu.edu.au/id/eprint/17508
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords hyperbolic function, arc-hyperbolic function, mean of two variables, Schur-convexity, Schur-geometric convexity, inequality
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