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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