Partitions of unity and approximation Academic Article uri icon


  • 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.

altmetric score

  • 3

author list (cited authors)

  • de Boor, C., & DeVore, R.

citation count

  • 13

publication date

  • April 1985