A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications

Dragomir, Sever S (1999) A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications. RGMIA research report collection, 2 (7).

Abstract

In this paper we point out a converse result of the celebrated Jensen inequality for differentiable convex mappings of several variables and apply it to counterpart well-known analytic inequalities. Applications to Shannon's and Rényi's entropy mappings are also given.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17266
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords convex functions, Jensen's inequality, entropy mapping
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