A reverse Rogers-Shephard inequality for log-concave functions

David Alonso-Gutiérrez

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arXiv · 1705.06154

A reverse Rogers-Shephard inequality for log-concave functions

David Alonso-Gutiérrez

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Abstract

We will prove a reverse Rogers-Shephard inequality for log-concave functions. In some particular cases, the method used for general log-concave functions can be slightly improved, allowing us to prove volume estimates for polars of $\ell_p$-diferences of convex bodies whose polar bodies under some condition on the barycenter of their polar bodies.

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David Alonso-Gutiérrez. 2017-05-17. A reverse Rogers-Shephard inequality for log-concave functions. https://arxiv.org/abs/1705.06154

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