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arXiv · 1512.05131

Some extensions of the Prékopa-Leindler inequality using Borell's stochastic approach

Dario Cordero-Erausquin·Bernard Maurey
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Abstract

We present an abstract form of the Prékopa-Leindler inequality that includes several known -and a few new- related functional inequalities on Euclidean spaces. The method of proof and also the formulation of the new inequalities are based on Christer Borell's stochastic approach to Brunn-Minkowski type inequalities.

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Dario Cordero-Erausquin, Bernard Maurey. 2016-10-24. Some extensions of the Prékopa-Leindler inequality using Borell's stochastic approach. https://arxiv.org/abs/1512.05131

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