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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).

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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
Uncontrolled Keywords: convex functions, Gâteaux derivatives, Jensen's inequality, norms, mean f-deviations, f-divergence measures
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 20:50
Last Modified: 23 May 2013 16:53
URI: http://vuir.vu.edu.au/id/eprint/17961
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