C-1-Cubic Quasi-Interpolation Splines over a CT Refinement of a Type-1 Triangulation

Benharzallah, Haithem; Barrera Rosillo, Domingo

doi:10.3390/math11010059

dc.contributor.author	Benharzallah, Haithem
dc.contributor.author	Barrera Rosillo, Domingo
dc.date.accessioned	2023-02-09T09:57:01Z
dc.date.available	2023-02-09T09:57:01Z
dc.date.issued	2022-12-23
dc.identifier.citation	Benharzallah, H.; Mennouni, A.; Barrera, D. C1-Cubic Quasi-Interpolating Splines in the Bernstein Basis over a Clough–Tocher Refinement of a Type-1 Triangulation. Mathematics 2023, 11, 59. [https://doi.org/10.3390/math11010059]	es_ES
dc.identifier.uri	https://hdl.handle.net/10481/79783
dc.description.abstract	C1 continuous quasi-interpolating splines are constructed over Clough–Tocher refinement of a type-1 triangulation. Their Bernstein–Bézier coefficients are directly defined from the known values of the function to be approximated, so that a set of appropriate basis functions is not required. The resulting quasi-interpolation operators reproduce cubic polynomials. Some numerical tests are given in order to show the performance of the approximation scheme.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	MDPI	es_ES
dc.rights	Atribución 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.subject	Bernstein–Bézier coefficients	es_ES
dc.subject	Quasi-interpolation	es_ES
dc.subject	Type-1 triangulation	es_ES
dc.subject	Clough–Tocher split	es_ES
dc.title	C-1-Cubic Quasi-Interpolation Splines over a CT Refinement of a Type-1 Triangulation	es_ES
dc.type	journal article	es_ES
dc.rights.accessRights	open access	es_ES
dc.identifier.doi	10.3390/math11010059
dc.type.hasVersion	VoR	es_ES

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