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Injectiveness and Discontinuity of Multiplicative Convex Functions

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dc.contributor.authorJiménez-Rodríguez, Pablo
dc.contributor.authorMartínez-Gómez, María E.
dc.contributor.authorMuñoz-Fernández, Gustavo A.
dc.contributor.authorSeoane Sepúlveda, Juan Benigno
dc.date.accessioned2023-06-17T08:31:07Z
dc.date.available2023-06-17T08:31:07Z
dc.date.issued2021
dc.description.abstractIn the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct multiplicative convex functions which are discontinuous at infinitely many points.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/77270
dc.identifier.doi10.3390/math9091035
dc.identifier.issn2227-7390
dc.identifier.officialurlhttps://doi.org/10.3390/math9091035
dc.identifier.urihttps://hdl.handle.net/20.500.14352/7346
dc.issue.number9
dc.journal.titleMathematics
dc.language.isoeng
dc.page.initial1035
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu517
dc.subject.keywordConvexity
dc.subject.keywordConvex function
dc.subject.keywordMultiplicative convex
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleInjectiveness and Discontinuity of Multiplicative Convex Functions
dc.typejournal article
dc.volume.number9
dspace.entity.typePublication
relation.isAuthorOfPublicatione85d6b14-0191-4b04-b29b-9589f34ba898
relation.isAuthorOfPublication.latestForDiscoverye85d6b14-0191-4b04-b29b-9589f34ba898

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