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On the Approximation of the Integral Mean Divergence and f-Divergence via Mean Results

Cerone, Pietro and Dragomir, Sever S (2002) On the Approximation of the Integral Mean Divergence and f-Divergence via Mean Results. RGMIA research report collection, 5 (1).

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Abstract

Results involving the approximation of the difference between two integral means are utilised to obtain bounds on the Integral Mean Divergence and the f−divergence due to Csiszár. The current work does not restrict the functions involved to be convex. If convexity is imposed then the Integral Mean Divergence is the Hermite-Hadamard divergence introduced by Shioya and Da-te.

Item Type: Article
Uncontrolled Keywords: integral mean divergence, Csiszár’s f−divergence, approximation, Hermite-Hadamard divergence
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 30 Aug 2012 03:52
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17669
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