Poincaré-type Inequalities

Sergey Bobkov; Gennadiy Chistyakov; Friedrich Götze

doi:10.1007/978-3-031-31149-9_6

Poincaré-type Inequalities

Sergey Bobkov, Gennadiy Chistyakov, Friedrich Götze

School of Mathematics

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

Abstract

In connection with the isoperimetric problem in metric probability spaces, Poincarétype inequalities have been already discussed in Chapter 5, where we also described basic examples. Such inequalities also serve as the most convenient route to concentration results.

Original language	English (US)
Title of host publication	Probability Theory and Stochastic Modelling
Publisher	Springer Nature
Pages	113-129
Number of pages	17
DOIs	https://doi.org/10.1007/978-3-031-31149-9_6
State	Published - 2023

Publication series

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

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

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10.1007/978-3-031-31149-9_6

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abstract = "In connection with the isoperimetric problem in metric probability spaces, Poincar{\'e}type inequalities have been already discussed in Chapter 5, where we also described basic examples. Such inequalities also serve as the most convenient route to concentration results.",

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Poincaré-type Inequalities

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