On Rogers–Shephard Type Inequalities for General Measures-Reference-Cited by-同舟云学术

On Rogers–Shephard Type Inequalities for General Measures

Published:2019-02-22 Issue:10 Volume:2021 Page:7224-7261
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Alonso-Gutiérrez David¹,Hernández Cifre María A²,Roysdon Michael³,Yepes Nicolás Jesús²,Zvavitch Artem³

Affiliation:

1. Departamento de Matemáticas, Universidad de Zaragoza, Zaragoza, Spain

2. Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, Murcia, Spain

3. Department of Mathematical Sciences, Kent State University, Kent, OH, USA

Abstract

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.

Funder

Division of Grants and Agreements

Instituto Universitario de Matemáticas y Aplicaciones

Ministry of Economy and Competitiveness

Spanish Federation for Rare Diseases

Programa de Ayudas a Grupos de Excelencia de la Región de Murcia

Fundación Séneca

National Science Foundation

Comue Université Paris-Est

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/10/7224/37934892/rnz010.pdf

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