Partitions of unity and approximation
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We show that for certain translation invariant spaces 5, a necessary and sufficient condition for the eventual denseness of the corresponding scaled spaces Sh 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. © 1985 American Mathematical Society.
author list (cited authors)
de Boor, C., & DeVore, R.