Free multivariate splines Academic Article uri icon


  • We introduce a definition of free multivariate splines which generalizes the univariate notion of splines with free knots. We then concentrate on the simplest case, piecewise constant functions and characterize some classes of functions which have a prescribed order of approximation in Lp by these splines. These characterizations involve the classical Besov spaces. © 1987 Springer-Verlag New York Inc.

author list (cited authors)

  • DeVore, R. A., & Popov, V. A.

citation count

  • 15

publication date

  • December 1987