Inequalities in Terms of the Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications

Dragomir, Sever S (2009) Inequalities in Terms of the Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications. Research report collection, 12 (Supp).

Abstract

Some inequalities in terms of the Gâteaux derivatives related to Jensen's inequality for convex functions defined on linear spaces are given. Applications for norms, mean f-deviations and f-divergence measures are provided as well.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17961
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords convex functions, Gâteaux derivatives, Jensen's inequality, norms, mean f-deviations, f-divergence measures
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