Supremum and Infimum Convolutions

Sergey Bobkov; Gennadiy Chistyakov; Friedrich Götze

doi:10.1007/978-3-031-31149-9_8

Supremum and Infimum Convolutions

Sergey Bobkov
, Gennadiy Chistyakov
, Friedrich Götze

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Logarithmic Sobolev inequalities are closely related to another important class of inequalities in terms of the so-called supremum- and infimum-convolutions, whose advantage is that they do not require smoothness or even continuity of the functions. It is therefore not surprising that supremum- and infimum-convolution inequalities find a wide range of applications.

Original language	English (US)
Title of host publication	Probability Theory and Stochastic Modelling
Publisher	Springer Nature
Pages	149-166
Number of pages	18
DOIs	https://doi.org/10.1007/978-3-031-31149-9_8
State	Published - 2023

Publication series

Name	Probability Theory and Stochastic Modelling
Volume	104
ISSN (Print)	2199-3130
ISSN (Electronic)	2199-3149

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

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10.1007/978-3-031-31149-9_8

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AU - Chistyakov, Gennadiy

AU - Götze, Friedrich

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N2 - Logarithmic Sobolev inequalities are closely related to another important class of inequalities in terms of the so-called supremum- and infimum-convolutions, whose advantage is that they do not require smoothness or even continuity of the functions. It is therefore not surprising that supremum- and infimum-convolution inequalities find a wide range of applications.

AB - Logarithmic Sobolev inequalities are closely related to another important class of inequalities in terms of the so-called supremum- and infimum-convolutions, whose advantage is that they do not require smoothness or even continuity of the functions. It is therefore not surprising that supremum- and infimum-convolution inequalities find a wide range of applications.

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UR - https://www.scopus.com/pages/publications/85159912156#tab=citedBy

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M3 - Chapter

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SP - 149

EP - 166

BT - Probability Theory and Stochastic Modelling

PB - Springer Nature

ER -

Supremum and Infimum Convolutions

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