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

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

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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
Uncontrolled Keywords: ResPubID7598, convex, Jensen, inequality
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0199 Other Mathematical Sciences Information Systems
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Depositing User: VUIR
Date Deposited: 31 Aug 2011 06:54
Last Modified: 31 Aug 2011 06:54
URI: http://vuir.vu.edu.au/id/eprint/2556
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