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On Rogers-Shephard type inequalities for thelattice point enumerator

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dc.contributor.authorAlonso Gutiérrez, David
dc.contributor.authorLucas Marín, Eduardo
dc.contributor.authorYepes Nicolás, Jesús
dc.contributor.departmentMatemáticas
dc.date.accessioned2026-02-26T17:37:27Z
dc.date.available2026-02-26T17:37:27Z
dc.date.copyright© 2023 World Scientific Publishing
dc.date.issued2022-02-25
dc.description.abstractAbstract. In this paper we study various Rogers-Shephard type inequalities for the lattice point enumerator Gn(·) on Rn. In particular, for any non-empty convex bounded sets K,L ⊂ Rn. Additionally, a discrete counterpart to a classical result by Berwald for concave functions, from which other discrete Rogers-Shephard type inequalities may be derived, is shown. Furthermore, we prove that these new discrete analogues for Gn(·) imply the corresponding results involving the Lebesgue measure.
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dc.identifier.citationCommunications in Contemporary MathematicsVol. 25, No. 08, 2250022 (2023)
dc.identifier.doihttps://doi.org/10.1142/S0219199722500225
dc.identifier.eissn1793-6683
dc.identifier.issn0219-1997
dc.identifier.urihttp://hdl.handle.net/10201/215141
dc.languageeng
dc.publisherWorld Scientific Publishing
dc.relationFirst author is supported by MICINN project PID-105979-GB-I00 and DGA project E48 20R. Second and third authors are supported by MICINN/FEDER project PGC2018-097046-B-I00 and by “Programa de Ayudas a Grupos de Excelencia de la Región de Murcia”, Fundación Séneca, 19901/GERM/15.
dc.relation.publisherversionhttps://www.worldscientific.com/doi/abs/10.1142/S0219199722500225
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 inequality
dc.subjectLattice point enumerator
dc.subjectBerwald’s inequality
dc.subjectProjection section inequality
dc.subject.odsNo relacionado con ningún objetivo de desarrollo sostenible
dc.titleOn Rogers-Shephard type inequalities for thelattice point enumerator
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
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relation.isAuthorOfPublication.latestForDiscovery7d0c0432-8cc5-4e36-b1cb-31aeaca3f80c
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