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A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic

dc.contributor.authorAmo, Enrique dees_ES
dc.contributor.authorDáiz Carrillo, Manueles_ES
dc.contributor.authorFernández Sánchez, Juanes_ES
dc.date.accessioned2017-03-09T11:43:25Z
dc.date.available2017-03-09T11:43:25Z
dc.date.issued2016
dc.identifier.citationAmo, E.; Díaz Carrillo, M.; Fernández Sánchez, J. A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic. Open Mathematics, 14: 1030-1052 (2016). [http://hdl.handle.net/10481/45164]es_ES
dc.identifier.issn2391-5455
dc.identifier.urihttp://hdl.handle.net/10481/45164
dc.description.abstractWe study a parameterized family of singular functions which appears in a paper by H. Okamoto and M. Wunsch (2007). Various properties are revisited from the viewpoint of fractal geometry and probabilistic techniques. Hausdorff dimensions are calculated for several sets related to these functions, and new properties close to fractal analysis and strong negations are explored.en_EN
dc.description.sponsorshipThis work was supported by the Ministerio de Economía y Competitividad (Spain) under Research Project No. MTM2014-60594-P and partially supported by FEDER.en_EN
dc.language.isoeng
dc.publisherDe Gruyter Openes_ES
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs 3.0 Licensees_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es_ES
dc.subjectSingular functionen_EN
dc.subjectHausdorff dimensionen_EN
dc.subjectKatok foliationen_EN
dc.subjectStrong negationen_EN
dc.titleA family of singular functions and its relation to harmonic fractal analysis and fuzzy logicen_EN
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1515/math-2016-0094


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