Subadditivity of Some Functionals Associated to Jensen's Inequality with Applications

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Dragomir, Sever S, Cho, Yeol Je and Kim, Jung Kyu (2009) Subadditivity of Some Functionals Associated to Jensen's Inequality with Applications. Research report collection, 12 (4).

Abstract

Some new results related to Jensen’s celebrated inequality for convex functions defined on convex sets in linear spaces are given. Applications for the arithmetic mean-geometric mean inequality are provided as well.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17769
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords convex functions, Jensen's inequality, arithmetic mean, geometric mean
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