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Some Inequalities for f-Divergence Measures Generated by 2n-Convex Functions

Dragomir, Sever S and Koumandos, Stamatis (2007) Some Inequalities for f-Divergence Measures Generated by 2n-Convex Functions. Research report collection, 10 (4).

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Abstract

A double Jensen type inequality for 2n−convex functions is obtained and applied to establish upper and lower bounds for the f−divergence measure in Information Theory. Some particular inequalities of interest are stated as well.

Item Type: Article
Uncontrolled Keywords: f-divergence measure, 2n-convexity, convex functions, absolutely monotonic and completely monotonic functions, analytic inequalities
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 10 Feb 2012 04:36
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17593
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