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Improvement of Jensen`s Inequality in terms of Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications
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  • 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;
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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.
Convex functions;Gteaux derivatives;Jensen`s inequality;Norms;Mean f-deviations;f-Divergence measures;
 Cited by
Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle, Abstract and Applied Analysis, 2013, 2013, 1  crossref(new windwow)
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