Quasi Interpolants and Approximation Power of Multivariate Splines
Abstract
The determination of the approximation power of spaces of multivariate splines with the aid of quasi interpolants is reviewed. In the process, streamlined description of the existing quasi interpolants theory is given. The author begin with a brief review of the approximation power of univariate splines since the techniques for its investigation are also those with which people have tried to understand the multivariate setup. (That may in fact be the reason why we know so little about it.) He then briefly discusses three examples to illustrate some basic limitations of the standard univariate approach.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 25, 1989
- Accession Number
- ADA213535
Entities
People
- Carl R. de Boor
Organizations
- University of Wisconsin–Madison