Supremum and Infimum Convolutions

Sergey Bobkov, Gennadiy Chistyakov, Friedrich Götze

Research output: Chapter in Book/Report/Conference proceedingChapter


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 languageEnglish (US)
Title of host publicationProbability Theory and Stochastic Modelling
PublisherSpringer Nature
Number of pages18
StatePublished - 2023

Publication series

NameProbability Theory and Stochastic Modelling
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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