On the Sauer-Xu formula for the error in multivariate polynomial interpolation
Authors:
Carl de Boor.
Affiliation:
Computer Sciences Department, University of Wisconsin-Madison, 1210 W. Dayton St., Madison, Wisconsin 53706
Abstract:
Use of a new notion of multivariate divided difference leads to a short proof of a formula by Sauer and Xu for the error in interpolation, by polynomials of total degree in variables, at a `correct' point set.