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Further Reverse Results for Jensen's Discrete Inequality and Applications in Information Theory

Budimir, I and Dragomir, Sever S and Pecaric, Josep (2000) Further Reverse Results for Jensen's Discrete Inequality and Applications in Information Theory. RGMIA research report collection, 3 (1).

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Abstract

Some new inequalities which counterpart Jensen’s discrete inequality and improve the recent results from S.S. DRAGOMIR, "A converse result for Jensen’s discrete inequality via Grüss’ inequality and applications in information theory" and S.S. DRAGOMIR, "A converse of the Jensen inequality for convex mappings of several variables and applications" are given. A related result for generalized means is established. Applications in Information Theory are also provided.

Item Type: Article
Uncontrolled Keywords: convex functions, Jensen’s inequality, entropy mappings
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 08:11
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17286
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