Cardinal interpolation by multivariate splines Academic Article uri icon

abstract

  • The purpose of this paper is to investigate cardinal interpolation using locally supported piecewise polynomials. In particular, the notion of a commutator is introduced and its connection with the Marsden identity is observed. The order of a commutator is shown to be equivalent to the Strang and Fix conditions that arise in the study of the local approximation orders using quasi-interpolants. We also prove that scaled cardinal interpolants give these local approximation orders. © 1987 American Mathematical Society.

author list (cited authors)

  • Chui, C. K., Jetter, K., & Ward, J. D.

citation count

  • 25

publication date

  • May 1987