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).

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
URI https://vuir.vu.edu.au/id/eprint/17728
Subjects Current > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords convex functions, Jensen's inequality, norms, mean f-deviation, f-divergences
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