An affine isoperimetric inequality for log-concave functions
Metric Geometry
2023-10-20 v1
Abstract
The authors gave an affine isoperimetric inequality \cite{LYZ2010} that gives a lower bound for the volume of a polar body and the equality holds if and only if the body is a simplex. In this paper, we give a functional isoperimetric inequality for log-concave functions that contains the affine isoperimetric inequality of Lutwak, Yang and Zhang in \cite{LYZ2010}.
Keywords
Cite
@article{arxiv.2310.12413,
title = {An affine isoperimetric inequality for log-concave functions},
author = {Zengle Zhang and Jiazu Zhou},
journal= {arXiv preprint arXiv:2310.12413},
year = {2023}
}