Partitions of unity and approximation
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- by C. de Boor and R. DeVore PDF
- Proc. Amer. Math. Soc. 93 (1985), 705-709 Request permission
Abstract:
We show that for certain translation invariant spaces $S$, a necessary and sufficient condition for the eventual denseness of the corresponding scaled spaces ${S_h}$ 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.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 705-709
- MSC: Primary 41A15
- DOI: https://doi.org/10.1090/S0002-9939-1985-0776207-2
- MathSciNet review: 776207