Partitions of Unity and Approximation.
Abstract
This document shows that for certain translation invariant spaces S, a necessary and sufficient condition for the eventual denseness of the corresponding scaled spaces S sub h is that S contain a stable and locally supported partition of unity. These results have been motivated by recent work on approximation by multivariate piecewise polynomials on regular meshes. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1984
- Accession Number
- ADA144717
Entities
People
- C. De Boor
- R. Devore
Organizations
- University of Wisconsin–Madison