Mathematics – Numerical Analysis
Scientific paper
2006-02-14
Mathematics
Numerical Analysis
Scientific paper
The univariate spline quasi-interpolants (abbr. QIs) studied in this paper are approximation operators using B-spline expansions with coefficients which are linear combinations of discrete or weighted mean values of the function to be approximated. When working with nonuniform partitions, the main challenge is to find QIs which have both good approximation orders and uniform norms which are bounded independently of the given partition. Near-best QIs are obtained by minimizing an upper bound of the infinity norm of QIs depending on a certain number of free parameters, thus reducing this norm. This paper is devoted to the study of two families of near-best QIs of approximation order 3.
Barrera Domingo
Ibañez Pérez Maria José
Sablonnière Paul
Sbibih D.
No associations
LandOfFree
On two families of near-best spline quasi-interpolants on non-uniform partitions of the real line does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On two families of near-best spline quasi-interpolants on non-uniform partitions of the real line, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On two families of near-best spline quasi-interpolants on non-uniform partitions of the real line will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-568369