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Near-best quasi-interpolants associated with H-splines on a three-direction mesh by D. Barrera; M.J. Ibáñez; P. Sablonnière; D. Sbibih is a Mathematics article available to read on EtoBox.

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Spline quasi-interpolants with optimal 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., Bsplines 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 to minimize an upper bound of their infinite norms which depend on a finite number of free parameters. We show that this problem has always a solution, which is not unique in general. Concrete examples of these types of quasi-interpolants are given in the two last sections.

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Author

D. Barrera; M.J. Ibáñez; P. Sablonnière; D. Sbibih

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-0427)

Published

2005

Language

EN

Field

Mathematics (Physical Sciences)