A reverse Rogers-Shephard inequality for log-concave functions

Alonso Gutiérrez, David (Universidad de Zaragoza)

Resumen: 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 under the condition that their polar bodies have opposite barycenters.

Idioma: Inglés

DOI: 10.1007/s12220-018-9991-8

Año: 2019

Publicado en: JOURNAL OF GEOMETRIC ANALYSIS 29, 1 (2019), 299-315
ISSN: 1050-6926

Factor impacto JCR: 0.924 (2019)

Categ. JCR: MATHEMATICS rank: 130 / 323 = 0.402 (2019) - Q2 - T2

Factor impacto SCIMAGO: 1.662 - Geometry and Topology (Q1)

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)