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arXiv · 0909.3742

Stability of some versions of the Prékopa-Leindler inequality

Károly J. Böröczky·Keith M. Ball
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Abstract

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.

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Károly J. Böröczky, Keith M. Ball. 2009-09-21. Stability of some versions of the Prékopa-Leindler inequality. https://arxiv.org/abs/0909.3742

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