On the Approximation of the Integral Mean Divergence and f-Divergence via Mean Results
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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).
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 |
| URI | https://vuir.vu.edu.au/id/eprint/17669 |
| Subjects | Historical > FOR Classification > 0102 Applied Mathematics Historical > FOR Classification > 0103 Numerical and Computational Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | integral mean divergence, Csiszár’s f−divergence, approximation, Hermite-Hadamard divergence |
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