An Inequality for Logarithmic Mapping and Applications for the Relative Entropy

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
Download/View statistics View download statistics for this item

Search Google Scholar

Repository staff login