Partitions of unity and approximation Academic Article uri icon


  • We show that for certain translation invariant spaces S S , a necessary and sufficient condition for the eventual denseness of the corresponding scaled spaces S h {S_h} is that S 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.

published proceedings

  • Proceedings of the American Mathematical Society

altmetric score

  • 3

author list (cited authors)

  • de Boor, C., & DeVore, R.

citation count

  • 13

complete list of authors

  • de Boor, C||DeVore, R

publication date

  • January 1985