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Superadditivity of Some Functionals Associated to Jensen's Inequality for Convex Functions on Linear Spaces with Applications

Dragomir, Sever S (2009) Superadditivity of Some Functionals Associated to Jensen's Inequality for Convex Functions on Linear Spaces with Applications. Research report collection, 12 (2).

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Abstract

Some new results related to Jensen's celebrated inequality for con- vex functions defined on convex sets in linear spaces are given. Applications for norm inequalities in normed linear spaces and f-divergences in Information Theory are provided as well.

Item Type: Article
Uncontrolled Keywords: convex functions, Jensen's inequality, norms, mean f-deviation, f-divergences
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: 09 Feb 2012 20:57
Last Modified: 23 May 2013 16:52
URI: http://vuir.vu.edu.au/id/eprint/17728
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