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On a linear refinement of the Prékopa-Leindler inequality

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dc.contributor.authorColesanti, Andrea
dc.contributor.authorSaorín Gómez, Eugenia
dc.contributor.authorYepes Nicolás, Jesús
dc.contributor.departmentMatemáticas
dc.contributor.otherFacultades de la UMU::Facultad de Matemáticas
dc.date.accessioned2026-02-26T08:25:07Z
dc.date.available2026-02-26T08:25:07Z
dc.date.copyright© Canadian Mathematical Society 2016
dc.date.issued2018-11-20
dc.description.abstractIf f; g : R^n -> R>=0 are non-negative measurable functions, then the Prékopa-Leindler inequality asserts that the integral of the Asplund sum (provided that it is measurable) is greater or equal than the 0-mean of the integrals of f and g. In this paper we prove that under the sole assumption that f and g have a common projection onto a hyperplane, the Prékopa-Leindler inequality admits a linear refinement. Moreover, the same inequality can be obtained when assuming that both projections (not necessarily equal as functions) have the same integral. An analogous approach may be also carried out for the so-called Borell-Brascamp-Lieb inequality.
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dc.format.extent23
dc.identifier.citationColesanti A, Saorín Gómez E, Yepes Nicolás J. On a Linear Refinement of the Prékopa-Leindler Inequality. Canadian Journal of Mathematics. 2016;68(4):762-783.
dc.identifier.doihttps://doi.org/10.4153/CJM-2015-016-6
dc.identifier.eissn1496-4279
dc.identifier.issn1496-4279
dc.identifier.urihttp://hdl.handle.net/10201/213941
dc.languageeng
dc.publisherCambridge University Press
dc.relationAuthor E.S.G. is supported by Dirección General de Investigación MTM2011-25377 MCIT and FEDER. Author J.Y.N. is supported by MINECO project MTM2012-34037
dc.relation.publisherversionhttps://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/on-a-linear-refinement-of-the-prekopaleindler-inequality/05129DC3C427CF3AA095B79B78106903
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.subjectPrékopa Leindler inequality
dc.subjectLinearity
dc.subjectAsplund sum
dc.subjectProjections
dc.subjectBorell Brascamp Lieb inequality
dc.subject.odsNo relacionado con ningún objetivo de desarrollo sostenible
dc.titleOn a linear refinement of the Prékopa-Leindler inequality
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dspace.entity.typePublicationes
relation.isAuthorOfPublication83330ca3-7689-457f-b9e0-890dbc56f41f
relation.isAuthorOfPublication.latestForDiscovery83330ca3-7689-457f-b9e0-890dbc56f41f
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