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Rogers-Shephard inequality for log-concave functions

dc.creatorAlonso Gutiérrez, Davides
dc.creatorGonzález Merino, Bernardoes
dc.creatorJIménez Gömez, Carlos Hugoes
dc.creatorVilla Caro, Rafaeles
dc.date.accessioned2016-11-29T09:16:42Z
dc.date.available2016-11-29T09:16:42Z
dc.date.issued2016-12-01
dc.identifier.citationAlonso Gutiérrez, D., González Merino, B., JIménez Gömez, C.H. y Villa Caro, R. (2016). Rogers-Shephard inequality for log-concave functions. Journal of Functional Analysis, 271 (11), 3269-3299.
dc.identifier.issn0022-1236es
dc.identifier.urihttp://hdl.handle.net/11441/49278
dc.description.abstractIn this paper we prove different functional inequalities extending the classical Rogers-Shephard inequalities for convex bodies. The original inequalities provide an optimal relation between the volume of a convex body and the volume of several symmetrizations of the body, such as, its difference body. We characterize the equality cases in all these inequalities. Our method is based on the extension of the notion of a convolution body of two convex sets to any pair of log-concave functions and the study of some geometrical properties of these new sets.es
dc.description.sponsorshipMinisterio de Ciencia e Innovaciónes
dc.description.sponsorshipBancajaes
dc.description.sponsorshipMinisterio de Economía y Competitividades
dc.description.sponsorshipCoordenação de aperfeiçoamento de pessoal de nivel superiores
dc.description.sponsorshipInstituto Nacional de Matemática Pura e Aplicada (Brasil)es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherElsevieres
dc.relation.ispartofJournal of Functional Analysis, 271 (11), 3269-3299.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectRogers-Shephard inequalityes
dc.subjectLog-concave functionses
dc.subjectConvolution bodyes
dc.subjectGeometric inequalitieses
dc.titleRogers-Shephard inequality for log-concave functionses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDMTM2013-42105-Pes
dc.relation.projectIDP1-1B2014-35es
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/MTM2012-34037es
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/MTM2012-30748es
dc.relation.publisherversionhttp://ac.els-cdn.com/S0022123616302610/1-s2.0-S0022123616302610-main.pdf?_tid=d52ff634-b613-11e6-b728-00000aab0f27&acdnat=1480410877_27c2af1f93a91120a6be6e57f5be64ffes
dc.identifier.doi10.1016/j.jfa.2016.09.005es
dc.contributor.groupUniversidad de Sevilla. FQM104: Análisis Matematicoes
idus.format.extent25 p.es
dc.journaltitleJournal of Functional Analysises
dc.publication.volumen271es
dc.publication.issue11es
dc.publication.initialPage3269es
dc.publication.endPage3299es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/49278

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