Monotonicity Results for Arithmetic Means of Concave and Convex Functions

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Shi, Huan-Nan, Xu, Tie-Quan and Qi, Feng (2006) Monotonicity Results for Arithmetic Means of Concave and Convex Functions. Research report collection, 9 (3).

Abstract

By majorization approaches, some known results on monotonicity of the arithmetic means of convex and concave functions are proved and generalized once again.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17500
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords convex function, concave function, monotonicity, arithmetic mean, inequality, majorization
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