Multidimensional Spline Approximation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1980 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 17, pages 380-402 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Dahmen, W.; De Vore, R.; Scherer, K.;

doi: 10.1137/0717033

Multidimensional Spline Approximation

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Abstract

Summary: We give direct and inverse estimates for multivariate spline approximation. The direct estimates rest on new results for local polynomial approximation which generalize the work of Brudnyi and Bramble-Hilbert. The inverse estimates are multivariate extensions of one variable ideas.

Keywords

Spline approximation, Approximation by polynomials, local polynomial approximation, multivariate spline approximation

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