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An Inequality for Logarithmic Mapping and Applications for the Relative Entropy

Dragomir, Sever S (2000) An Inequality for Logarithmic Mapping and Applications for the Relative Entropy. RGMIA research report collection, 3 (2).

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Abstract

Using the concavity property of the log mapping and the weighted arithmetic mean - geometric mean inequality, we point out an analytic inequality for the logarithmic map and apply it for the Kullback-Leibler distance in Information Theory. Some applications for Shannon’s entropy are given as well.

Item Type: Article
Uncontrolled Keywords: analytic inequalities, Kull-back-Leibler distances, x²-distance, variation distance
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 01:41
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17303
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