Two-stage approximation methods with extended B-splines

Davydov, Oleg and Prasiswa, Jennifer and Reif, Ulrich (2013) Two-stage approximation methods with extended B-splines. Mathematics of Computation, n/a (n/a). 02734-2. ISSN 0025-5718

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Abstract

We develop and analyze a framework for two-stage methods with EB-splines, applicable to continuous and discrete approximation problems. In particular, we propose a weighted discrete least squares fit that yields optimal convergence rates for sufficiently dense data on Lipschitz domains in Rd.