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On Repeated Sequential Closures of Constructible Functions in Valuations Read chapter Read first chapter

2017 | OriginalPaper | Chapter

An Inequality for Moments of Log-Concave Functions on Gaussian Random Vectors

Authors : Nikos Dafnis, Grigoris Paouris

Published in: Geometric Aspects of Functional Analysis

Publisher: Springer International Publishing

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Abstract

We prove sharp moment inequalities for log-concave and log-convex functions, on Gaussian random vectors. As an application we take a reverse form of the classical logarithmic Sobolev inequality, in the case where the function is log-concave.

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previous chapter Valuations on the Space of Quasi-Concave Functions
next chapter -Valent Functions
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Metadata
Title
An Inequality for Moments of Log-Concave Functions on Gaussian Random Vectors
Authors
Nikos Dafnis
Grigoris Paouris
Copyright Year
2017
Book
Geometric Aspects of Functional Analysis

Print ISBN: 978-3-319-45281-4

Electronic ISBN: 978-3-319-45282-1

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-45282-1_7

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