On Rogers-Shephard type inequalities for general measures
Metric Geometry
2018-12-27 v2
Abstract
In this paper we prove a series of Rogers-Shephard type inequalities for convex bodies when dealing with measures on the Euclidean space with either radially decreasing densities, or quasi-concave densities attaining their maximum at the origin. Functional versions of classical Rogers-Shephard inequalities are also derived as consequences of our approach.
Keywords
Cite
@article{arxiv.1809.04051,
title = {On Rogers-Shephard type inequalities for general measures},
author = {David Alonso-Gutiérrez and María A. Hernández Cifre and Michael Roysdon and Jesús Yepes Nicolás and Artem Zvavitch},
journal= {arXiv preprint arXiv:1809.04051},
year = {2018}
}
Comments
Added references. Revised discussion in section 2, with new Theorem 2.2. Corrected typos. Main results unchanged