A converse Gaussian Poincaré-type inequality for convex functions

S. G. Bobkov; C. Houdré

doi:10.1016/S0167-7152(99)00019-X

A converse Gaussian Poincaré-type inequality for convex functions

S. G. Bobkov
, C. Houdré

School of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

A converse Poincaré-type inequality is obtained within the class of smooth convex functions for the Gaussian distribution.

Original language	English (US)
Pages (from-to)	281-290
Number of pages	10
Journal	Statistics and Probability Letters
Volume	44
Issue number	3
DOIs	https://doi.org/10.1016/S0167-7152(99)00019-X
State	Published - Sep 15 1999

Keywords

60E99
Gaussian distribution
Log-Sobolev inequalities
Poincaré-type inequalities
Primary 60E15
Secondary 26D10

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10.1016/S0167-7152(99)00019-X

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@article{e7bd3e316590460bb97308ac123a400a,

title = "A converse Gaussian Poincar{\'e}-type inequality for convex functions",

abstract = "A converse Poincar{\'e}-type inequality is obtained within the class of smooth convex functions for the Gaussian distribution.",

keywords = "60E99, Gaussian distribution, Log-Sobolev inequalities, Poincar{\'e}-type inequalities, Primary 60E15, Secondary 26D10",

author = "Bobkov, \{S. G.\} and C. Houdr{\'e}",

year = "1999",

month = sep,

day = "15",

doi = "10.1016/S0167-7152(99)00019-X",

language = "English (US)",

volume = "44",

pages = "281--290",

journal = "Statistics and Probability Letters",

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publisher = "Elsevier B.V.",

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T1 - A converse Gaussian Poincaré-type inequality for convex functions

AU - Bobkov, S. G.

AU - Houdré, C.

PY - 1999/9/15

Y1 - 1999/9/15

N2 - A converse Poincaré-type inequality is obtained within the class of smooth convex functions for the Gaussian distribution.

AB - A converse Poincaré-type inequality is obtained within the class of smooth convex functions for the Gaussian distribution.

KW - 60E99

KW - Gaussian distribution

KW - Log-Sobolev inequalities

KW - Poincaré-type inequalities

KW - Primary 60E15

KW - Secondary 26D10

UR - https://www.scopus.com/pages/publications/0041720944

UR - https://www.scopus.com/pages/publications/0041720944#tab=citedBy

U2 - 10.1016/S0167-7152(99)00019-X

DO - 10.1016/S0167-7152(99)00019-X

M3 - Article

AN - SCOPUS:0041720944

SN - 0167-7152

VL - 44

SP - 281

EP - 290

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 3

ER -

A converse Gaussian Poincaré-type inequality for convex functions

Abstract

Keywords

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