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SUPERADDITIVITY OF SOME FUNCTIONALS ASSOCIATED WITH JENSEN’S INEQUALITY FOR CONVEX FUNCTIONS ON LINEAR SPACES WITH APPLICATIONS

Part of: Inequalities

Published online by Cambridge University Press:  02 March 2010

S. S. DRAGOMIR
S. S. DRAGOMIR*
Affiliation:
Research Group in Mathematical Inequalities and Applications, School of Engineering and Science, Victoria University, PO Box 14428, Melbourne, Victoria 8001, Australia (email: [email protected])
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Abstract

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Some new results related to Jensen’s celebrated inequality for convex functions defined on convex sets in linear spaces are given. Applications for norm inequalities in normed linear spaces and f-divergences in information theory are provided as well.

Keywords

convex functionsJensen’s inequalitynormsmean f-deviationf-divergences

MSC classification

Secondary: 26D15: Inequalities for sums, series and integrals
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 1 , August 2010 , pp. 44 - 61
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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