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

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Dragomir, Sever S (2004) A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications. Acta Mathematica Vietnamica, 29 (1). pp. 77-88. ISSN 0251-4184

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/2556
Official URL http://www.math.ac.vn/publications/acta/pdf/040107...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID7598, convex, Jensen, inequality
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