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A new approach to deal with C2 cubic splines and its application to super-convergent quasi-interpolation

dc.contributor.authorBarrera Rosillo, Domingo 
dc.contributor.authorEddargani, Salah
dc.contributor.authorIbáñez Pérez, María José 
dc.date.accessioned2022-05-31T07:04:10Z
dc.date.available2022-05-31T07:04:10Z
dc.date.issued2021-12-13
dc.identifier.citationD. Barrera... [et al.]. A new approach to deal with C2 cubic splines and its application to super-convergent quasi-interpolation, Mathematics and Computers in Simulation, Volume 194, 2022, Pages 401-415, ISSN 0378-4754, [https://doi.org/10.1016/j.matcom.2021.12.003]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/75119
dc.descriptionThe authors wish to thank the anonymous referees for their very pertinent and useful comments which helped them to improve the original manuscript. The first and third authors are members of the research group FQM 191 Matematica Aplicada funded by the PAIDI programme of the Junta de Andalucia, Spain. The second author would like to thank the University of Granada, Spain for the financial support for the research stay during which this work was carried out. Funding for open access charge: Universidad de Granada/CBUAes_ES
dc.description.abstractIn this paper, we construct a novel normalized B-spline-like representation for C2-continuous cubic spline space defined on an initial partition refined by inserting two new points inside each sub-interval. The basis functions are compactly supported non-negative functions that are geometrically constructed and form a convex partition of unity. With the help of the control polynomial theory introduced herein, a Marsden identity is derived, from which several families of super-convergent quasi-interpolation operators are defined.es_ES
dc.description.sponsorshipJunta de Andaluciaes_ES
dc.description.sponsorshipUniversity of Granada, Spaines_ES
dc.description.sponsorshipUniversidad de Granada/CBUAes_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAtribución 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectBernstein-Bézier representationes_ES
dc.subjectHermite interpolationes_ES
dc.subjectNormalized B-splineses_ES
dc.subjectSuper-convergent quasi-interpolantses_ES
dc.subjectControl polynomialses_ES
dc.titleA new approach to deal with C2 cubic splines and its application to super-convergent quasi-interpolationes_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1016/j.matcom.2021.12.003
dc.type.hasVersionVoRes_ES


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