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2013 A Generalization of $f$-Divergence Measure to Convex Functions Defined on Linear Spaces
S. S. Dragomir
Commun. Math. Anal. 15(2): 1-14 (2013).

Abstract

In this paper we generalize the concept of $f$-divergence to a convex function defined on a convex cone in a linear space. Some fundamental results are established. Applications for some well known divergence measures are provided as well.

Citation

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S. S. Dragomir. "A Generalization of $f$-Divergence Measure to Convex Functions Defined on Linear Spaces." Commun. Math. Anal. 15 (2) 1 - 14, 2013.

Information

Published: 2013
First available in Project Euclid: 9 August 2013

zbMATH: 1277.26034
MathSciNet: MR3093577

Subjects:
Primary: 26D15, 94A99

Keywords: $f$-Divergences , Convex functions , Divergence measures , Jensen's inequality

Rights: Copyright © 2013 Mathematical Research Publishers

Vol.15 • No. 2 • 2013
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