ON CERTAIN NEW INEQUALITIES IN INFORMATION THEORY

被引：3

作者：

Simic, S. ^{[1
]}

机构：

[1] Math Inst SANU, Belgrade 11000, Serbia

来源：

ACTA MATHEMATICA HUNGARICA | 2009年 / 124卷 / 04期

关键词：

logarithmic convexity; Csiszar's f-divergence; relative s-information; Hellinger distance; alpha-order divergence;

D O I：

10.1007/s10474-009-8205-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a global assertion on logarithmic convexity of Csiszar's f-divergence. It follows that the relative s-information measure is log-convex for s is an element of R, wherefrom some new inequalities connecting Kullback-Leibler divergence and chi(2) and Hellinger distances arise.

引用

页码：353 / 361

页数：9

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