A New Refinement of Jensen's Inequality in Linear Spaces with Applications

Dragomir, Sever S (2009) A New Refinement of Jensen's Inequality in Linear Spaces with Applications. Research report collection, 12 (Supp).

Abstract

A new refinement of Jensen’s celebrated inequality for functions defined on convex sets in linear spaces is given. Applications for norms, mean f-deviation and f-divergences are provided as well.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17965
Subjects Historical > 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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