Infinite derivatives of the Takagi-Van der Waerden functions

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dc.contributor.authorFerrera Cuesta, Juan
dc.contributor.authorGómez Gil, Javier
dc.contributor.authorLlorente Jorge, Jesús
dc.date.accessioned2026-02-25T14:40:43Z
dc.date.available2026-02-25T14:40:43Z
dc.date.issued2019
dc.description.abstractIn this paper we characterize the set of points where the lateral derivatives of the Takagi-Van der Waerden functions are infinite. We also prove that the set of points with infinite derivative has Hausdorff dimension one.
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.sponsorshipMinisterio de Economía, Industria y Competitividad
dc.description.statuspub
dc.identifier.citationJ. Ferrera, J. Gómez Gil, J. Llorente, Infinite derivatives of the Takagi–Van der Waerden functions, J. Math. Anal. Appl. 479 (2019), no. 1, 987–1003.
dc.identifier.doi10.1016/j.jmaa.2019.06.063
dc.identifier.officialurlhttps://doi.org/10.1016/j.jmaa.2019.06.063
dc.identifier.urihttps://hdl.handle.net/20.500.14352/133232
dc.issue.number1
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.page.final1003
dc.page.initial987
dc.publisherElsevier
dc.relation.projectIDMTM2015-65825-P
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.keywordTakagi-Van der Waerden functions
dc.subject.keywordInfinite derivatives
dc.subject.keywordHausdorff dimension
dc.subject.keywordLebesgue measure
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202.10 Funciones de Variables Reales
dc.subject.unesco1202.17 Medida, Integración, Area
dc.titleInfinite derivatives of the Takagi-Van der Waerden functions
dc.typejournal article
dc.volume.number479
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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