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Article Dans Une Revue Constructive Approximation Année : 2008

Near-best univariate spline discrete quasi-interpolants on non-uniform partitions

Résumé

Univariate spline discrete quasi-interpolants (abbr. dQIs) are approximation operators using B-spline expansions with coefficients which are linear combinations of discrete values of the function to be approximated. When working with nonuniform partitions, the main challenge is to find dQIs which have both good approximation orders and bounded uniform norms independent of the given partition. Near-best dQIs are obtained by minimizing an upper bound of the infinite norm of dQIs depending on a certain number of free parameters, thus reducing this norm. This paper is devoted to the study of some families of near-best dQIs of approximation order 2.
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Dates et versions

hal-00001513 , version 1 (03-05-2004)

Identifiants

Citer

Domingo Barrera-Rosillo, Maria José Ibañez-Pérez, Paul Sablonnière, Driss Sbibih. Near-best univariate spline discrete quasi-interpolants on non-uniform partitions. Constructive Approximation, 2008, 28 (3), pp.237-251. ⟨10.1007/s00365-007-9002-y⟩. ⟨hal-00001513⟩
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