English

A reverse Rogers-Shephard inequality for log-concave functions

Metric Geometry 2017-05-18 v1

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 p\ell_p-diferences of convex bodies whose polar bodies under some condition on the barycenter of their polar bodies.

Keywords

Cite

@article{arxiv.1705.06154,
  title  = {A reverse Rogers-Shephard inequality for log-concave functions},
  author = {David Alonso-Gutiérrez},
  journal= {arXiv preprint arXiv:1705.06154},
  year   = {2017}
}
R2 v1 2026-06-22T19:49:55.748Z