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On Rogers–Shephard type inequalities for general measures

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dc.contributor.authorRoysdon, Michael
dc.contributor.authorZvavitch, Artem
dc.contributor.authorYepes Nicolás, Jesús
dc.contributor.authorHernández Cifre, María de los Ángeles
dc.contributor.departmentMatemáticas
dc.contributor.otherFacultades de la UMU::Facultad de Matemáticas
dc.date.accessioned2026-02-26T08:18:30Z
dc.date.available2026-02-26T08:18:30Z
dc.date.copyright© The Author(s) 2019
dc.date.created2018
dc.date.issued2019-02-22
dc.description.abstractIn 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.
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dc.identifier.citationDavid Alonso-Gutiérrez, María A Hernández Cifre, Michael Roysdon, Jesús Yepes Nicolás, Artem Zvavitch, On Rogers–Shephard Type Inequalities for General Measures, International Mathematics Research Notices, Volume 2021, Issue 10, May 2021, Pages 7224–7261
dc.identifier.doihttps://doi.org/10.1093/imrn/rnz010
dc.identifier.eissn1687-0247
dc.identifier.issn1073-7928
dc.identifier.urihttp://hdl.handle.net/10201/213921
dc.languageeng
dc.publisherOxford University Press
dc.relationThis work is supported by the DGA E26_17R and MINECO/FEDER MTM2016-77710-P projects and Instituto Universitario de Matemáticas y Aplicaciones (IUMA) [to D.A.G.]; MINECO/FEDER project MTM2015-65430-P and “Programa de Ayudas a Grupos de Excelencia de la Región de Murcia”, Fundación Séneca, 19901/GERM/15 [to M.A.H.C. and J.Y.N.]; U.S. National Science Foundation [DMS-1101636 to M.R. and A.Z]; and Comue Université Paris-Est [to A.Z.].
dc.relation.publisherversionhttps://academic.oup.com/imrn/article/2021/10/7224/5336663
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectRogers Shephard type inequalities
dc.subjectQuasi concave density
dc.subjectRadially decreasing density
dc.subjectFunctional inequalities
dc.subject.odsNo relacionado con ningún objetivo de desarrollo sostenible
dc.titleOn Rogers–Shephard type inequalities for general measures
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
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relation.isAuthorOfPublication89b11f24-5759-4d13-8fd5-0252ca7b7104
relation.isAuthorOfPublication.latestForDiscovery83330ca3-7689-457f-b9e0-890dbc56f41f
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