A converse Gaussian Poincare-type inequality for convex functions

被引:9
作者
Bobkov, SG
Houdré, C
机构
[1] Syktyvkar State Univ, Dept Math, Syktyvkar 167001, Russia
[2] Georgia Inst Technol, Sch Math, SE Appl Anal Ctr, Atlanta, GA 30322 USA
关键词
Poincare-type inequalities; log-Sobolev inequalities; Gaussian distribution;
D O I
10.1016/S0167-7152(99)00019-X
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A converse Poincare-type inequality is obtained within the class of smooth convex functions for the Gaussian distribution. (C) 1999 Elsevier Science B.V. All rights reserved. MSC. primary 60E15; 60B99; secondary 26D10.
引用
收藏
页码:281 / 290
页数:10
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