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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 $le n$ in $d$ variables, at a `correct' point set.

Keywords:Polynomials   multivariate   interpolation   error   remainder formula   divided difference
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