Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509411 | Journal of Computational and Applied Mathematics | 2005 | 20 Pages |
Abstract
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., 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 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
D. Barrera, M.J. Ibáñez, P. Sablonnière, D. Sbibih,