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

Dragomir, Sever S

Publication date

January 2009

Publisher

School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology

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

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

Abstract

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

Abstract

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