Stability of some versions of the Prékopa-Leindler inequality

Two consequences of the stability version of the one dimensional Prékopa-Leindler inequality are presented. One is the stability version of the Blaschke-Santaló inequality, and the other is a stability version of the Prékopa-Leindler inequality for even functions in higher dimensions, where a recent...

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Bibliographic Details
Published in:arXiv.org 2009-09
Main Authors: Böröczky, Károly J, Ball, Keith M
Format: Article
Language:English
Subjects:
Dimensional stability
Inequality
Online Access:Get full text
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Summary:Two consequences of the stability version of the one dimensional Prékopa-Leindler inequality are presented. One is the stability version of the Blaschke-Santaló inequality, and the other is a stability version of the Prékopa-Leindler inequality for even functions in higher dimensions, where a recent stability version of the Brunn-Minkowski inequality is also used in an essential way.
ISSN:2331-8422