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2010 A REFINEMENT OF JENSEN’S INEQUALITY WITH APPLICATIONS FOR $f$-DIVERGENCE MEASURES
S. S. Dragomir
Taiwanese J. Math. 14(1): 153-164 (2010). DOI: 10.11650/twjm/1500405733

Abstract

A refinement of the discrete Jensen's inequality for convex functions defined on a convex subset in linear spaces is given. Application for $f$-divergence measures including the Kullback-Leibler and Jeffreys divergences are provided as well.

Citation

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S. S. Dragomir. "A REFINEMENT OF JENSEN’S INEQUALITY WITH APPLICATIONS FOR $f$-DIVERGENCE MEASURES." Taiwanese J. Math. 14 (1) 153 - 164, 2010. https://doi.org/10.11650/twjm/1500405733

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1190.26020
MathSciNet: MR2603448
Digital Object Identifier: 10.11650/twjm/1500405733

Subjects:
Primary: 26D15 , 94A17

Keywords: $f$-divergence measures , Convex functions , Jeffreys divergence , Jensen's inequality , Kullback-Leibler divergence

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 1 • 2010
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