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Local C2-smooth spline quasi-interpolation methods

dc.contributor.authorBarrera Rosillo, Domingo 
dc.contributor.authorEddargani, S.
dc.contributor.authorIbáñez, M.J.
dc.contributor.authorRemogna, S.
dc.date.accessioned2024-11-19T10:51:49Z
dc.date.available2024-11-19T10:51:49Z
dc.date.issued2024-11-05
dc.identifier.citationBarrera Rosillo, D. et. al. Applied Mathematics Letters 160 (2025) 109346. [https://doi.org/10.1016/j.aml.2024.109346]es_ES
dc.identifier.urihttps://hdl.handle.net/10481/97079
dc.description.abstractIn this paper we construct new univariate local C2 quasi-interpolating splines having specific polynomial reproduction properties. The splines are directly determined by setting their Bernstein-Bézier coefficients to appropriate combinations of the given data values. In certain cases we obtain a family of quasi-interpolating operators satisfying the required conditions, so we fix some extra properties (interpolation of the vertices, extra locality, extra polynomial reproduction) in order to compute unique approximants. We also provide numerical results confirming the theoretical oneses_ES
dc.description.sponsorshipGroup FQM 191Matemática Aplicadafunded by the PAIDI programmeof the Junta de Andalucía, Spaines_ES
dc.description.sponsorshipINdAM Research group GNCS of Italyes_ES
dc.description.sponsorshipMUR Excellence Department Project awarded to the Department of Mathematics,University of Rome Tor Vergata, CUP E83C23000330006es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectQuasi-interpolationes_ES
dc.subjectBernstein basises_ES
dc.subjectBB-coefficientses_ES
dc.titleLocal C2-smooth spline quasi-interpolation methodses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1016/j.aml.2024.109346
dc.type.hasVersionVoRes_ES


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