Second order differentiability and related topics in the Takagi Class

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dc.contributor.authorFerrera Cuesta, Juan
dc.contributor.authorGómez Gil, Javier
dc.contributor.authorLlorente Jorge, Jesús
dc.date.accessioned2026-02-25T17:51:37Z
dc.date.available2026-02-25T17:51:37Z
dc.date.issued2022
dc.description.abstractIn this paper we study some properties concerning the second order differentiability of the functions belonging to the Takagi class as well as the size of the sets where these properties hold. In particular, we characterize the set of points where these functions have a Taylor expansion of order two. Moreover, we also characterize when they satisfy a Stepanov condition of order two at a point. In this context, the convexity of such functions is also investigated. Finally, some interesting examples are provided.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades
dc.description.statuspub
dc.identifier.citationJ. Ferrera, J. Gómez Gil, J. Llorente, Second order differentiability and related topics in the Takagi class, Real Anal. Exchange 47 (2022), no. 1, 207–235.
dc.identifier.doi10.14321/realanalexch.47.1.1628458590
dc.identifier.officialurlhttps://doi.org/10.14321/realanalexch.47.1.1628458590
dc.identifier.urihttps://hdl.handle.net/20.500.14352/133275
dc.issue.number1
dc.journal.titleReal Analysis Exchange
dc.language.isoeng
dc.page.final236
dc.page.initial207
dc.publisherMichigan State University Press
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-097286-B-I00/ES/ANALISIS FUNCIONAL NO LINEAL Y GEOMETRICO/
dc.rights.accessRightsopen access
dc.subject.keywordTakagi class
dc.subject.keywordSecond order differentiability
dc.subject.keywordTaylor expansion of order two
dc.subject.keywordStepanov condition of order two
dc.subject.keywordConvexity
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202.06 Convexidad, desigualdades
dc.subject.unesco1202.10 Funciones de Variables Reales
dc.subject.unesco1202.17 Medida, Integración, Area
dc.titleSecond order differentiability and related topics in the Takagi Class
dc.typejournal article
dc.volume.number47
dspace.entity.typePublication
relation.isAuthorOfPublication1a91d6af-aaeb-4a3e-90ce-4abdf2b90ac3
relation.isAuthorOfPublication88621a6e-cb08-45cc-a43e-43a388119938
relation.isAuthorOfPublicationb84c8cd3-ee01-4157-bc96-3788cf652455
relation.isAuthorOfPublication.latestForDiscovery1a91d6af-aaeb-4a3e-90ce-4abdf2b90ac3

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