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

页码：353 / 361

页数：8

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