language: en

The Error in Polynomial Tensor-Product, and Chung-Yao, Interpolation

Carl de Boor

Abstract. A formula for the error in Chung-Yao interpolation announced earlier is proved (by induction). In the process, a bivariate divided difference identity of independent interest is proved. Also, an inductive proof of an error formula for polynomial interpolation by tensor-products is given. The main tool is a (convenient notation for a) multi-variate divided difference.

[Surface Fitting and Multiresolution Methods 35 A. Le Mehaute, C. Rabut, and L. L. Schumaker (eds.), pp. 35-50.]

[Copyright o c 1997 by Vanderbilt University Press, Nashville, TN.]

ISBN 0-8265-1294-1.

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