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| HAL : hal-00001331, version 1 |
| DOI : 10.1016/j.cam.2005.01.034 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Computational and Applied Mathematics 183, 1 (2005) 133-152 |
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| Near-best quasi-interpolants associated with H-splines on a three-directional mesh. |
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| Domingo Barrera-Rosillo 1, 2Maria José Ibañez-Pérez 1, 2, 3 |
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| (2005) |
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| Spline quasi-interpolants with best approximation orders and small norms are useful in several applications. In this paper, we construct the so-called near-best discrete and integral quasi-interpolants based on H-splines, i.e., B-splines with regular hexagonal supports on the uniform three-directional mesh of the plane. These quasi-interpolants are obtained so as to be exact on some space of polynomials, and minimize an upper bound of their infinite norms depending on a finite number of free parameters. We show that this problem has always a solution, but it is not unique in general. Concrete examples of these types of quasi-interpolants are given in the two last sections. |
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| 1 : | Departamento de Matemàtica Aplicada (Departamento de Matemàtica Aplicada) |
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Universidad de Granada |
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| 2 : | Departamento de Matematica Aplicada (E-GRAN-AM) |
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Universidad de Granada |
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| 3 : | Universidad de Granada (E-GRANS-AM) |
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Universidad de Granada |
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| 4 : | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 5 : | Département de Mathématiques et Informatique (Département de Mathématiques et Informatique) |
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Université Mohammed 1er |
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| Analyse numérique |
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| Domaine | : | Mathématiques/Analyse numérique |
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| H-splines – discrete quasi-interpolants – integral quasi-interpolants – near-best quasi-interpolants |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00001331, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00001331 | |
| oai:hal.archives-ouvertes.fr:hal-00001331 | |
| Contributeur : Marie-Annick Guillemer | |
| Soumis le : Vendredi 19 Mars 2004, 15:58:42 | |
| Dernière modification le : Jeudi 7 Juin 2012, 17:32:51 | |
