Improvement of Jensen's Inequality in terms of Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications

- Journal title : Kyungpook mathematical journal
- Volume 52, Issue 4, 2012, pp.495-511
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2012.52.4.495

Title & Authors

Improvement of Jensen's Inequality in terms of Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications

Khan, Muhammad Adil; Khalid, Sadia; Pecaric, Josip;

Khan, Muhammad Adil; Khalid, Sadia; Pecaric, Josip;

Abstract

In this paper, we prove some inequalities in terms of Gteaux derivatives for convex functions defined on linear spaces and also give improvement of Jensen's inequality. Furthermore, we give applications for norms, mean -deviations and -divergence measures.

Keywords

Convex functions;Gteaux derivatives;Jensen's inequality;Norms;Mean f-deviations;f-Divergence measures;

Language

English

Cited by

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