Near-best quasi-interpolants associated with H-splines on a three-directional mesh. - Université de Rennes Accéder directement au contenu
Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2005

Near-best quasi-interpolants associated with H-splines on a three-directional mesh.

Résumé

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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Dates et versions

hal-00001331 , version 1 (19-03-2004)

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Domingo Barrera-Rosillo, Maria José Ibañez-Pérez, Paul Sablonnière, Driss Sbibih. Near-best quasi-interpolants associated with H-splines on a three-directional mesh.. Journal of Computational and Applied Mathematics, 2005, 183 (1), pp.133-152. ⟨10.1016/j.cam.2005.01.034⟩. ⟨hal-00001331⟩
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