An Inequality for Logarithmic Mapping and Applications for the Relative Entropy
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Dragomir, Sever S (2000) An Inequality for Logarithmic Mapping and Applications for the Relative Entropy. RGMIA research report collection, 3 (2).
Abstract
Using the concavity property of the log mapping and the weighted arithmetic mean - geometric mean inequality, we point out an analytic inequality for the logarithmic map and apply it for the Kullback-Leibler distance in Information Theory. Some applications for Shannon’s entropy are given as well.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17303 |
| 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 | analytic inequalities, Kull-back-Leibler distances, x²-distance, variation distance |
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