Near minimally normed spline quasi-interpolants on uniform partitions

Authors:
D. Barrera;M. J. Ibáñez;P. Sablonnière;D. Sbibih
Affiliations:
Departamento de Matemática Aplicada, Universidad de Granada, Campus universitario de Fuentenueva s/n, 18071 Granada, Spain;Departamento de Matemática Aplicada, Universidad de Granada, Campus universitario de Fuentenueva s/n, 18071 Granada, Spain;INSA de Rennes, 20 Avenue des Buttes de Coësmes, CS 14315, 35043 Rennes, Cedex, France;Département de Mathématiques et Informatique, Faculté des Sciences, Université Mohammed 1er, 60000 Oujda, Morocco
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

Citing 3
Cited 2

Positive spline operators and orthogonal splines

Journal of Approximation Theory
Box splines

Box splines
Some examples of quasi-interpolants constructed from local spline projectors

Mathematical Methods for Curves and Surfaces

A general method for constructing quasi-interpolants from B-splines

Journal of Computational and Applied Mathematics
Error analysis for a non-standard class of differential quasi-interpolants

Mathematics and Computers in Simulation

Quantified Score

Hi-index	7.29

Visualization

Abstract

Spline quasi-interpolants (QIs) are local approximating operators for functions or discrete data. We consider the construction of discrete and integral spline QIs on uniform partitions of the real line having small infinity norms. We call them near minimally normed QIs: they are exact on polynomial spaces and minimize a simple upper bound of their infinity norms. We give precise results for cubic and quintic QIs. Also the QI error is considered, as well as the advantage that these QIs present when approximating functions with isolated discontinuities.