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arXiv · 2007.01101

A Prékopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality

Yuchi Wu
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Abstract

In this paper, we prove a Prékopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality. It extends an inequality proved by Das Gupta [8] and Klartag [16], and thus recovers the Prékopa-Leindler inequality. In addition, we prove a functional $L_p$ Minkowski inequality.

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Yuchi Wu. 2021-03-24. A Prékopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality. https://arxiv.org/abs/2007.01101

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