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Original Articles

Spline interpolation on sparse grids

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Pages 337-383 | Received 13 Nov 2009, Accepted 23 Apr 2010, Published online: 21 Sep 2010
 

Abstract

We investigate the rate of convergence of interpolating splines with respect to sparse grids for Besov spaces of dominating mixed smoothness (tensor product Besov spaces). Main emphasis is given to the approximation by piecewise linear functions.

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