On certain new inequalities in information theory

被引：0
|
作者：
S. Simic
机构：
[1] Mathematical Institute SANU,
来源：
Acta Mathematica Hungarica | 2009年 / 124卷
关键词：
logarithmic convexity; Csiszár’s ƒ-divergence; relative ; -information; Hellinger distance; α-order divergence; 60E15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove a global assertion on logarithmic convexity of Csiszár’s ƒ-divergence. It follows that the relative s-information measure is log-convex for s ∈ ℝ, wherefrom some new inequalities connecting Kullback-Leibler divergence and χ2 and Hellinger distances arise.
引用
收藏
页码：353 / 361
页数：8
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