The approximation order of polysplines

Kounchev, Ognyan; Render, Hermann

doi:10.1090/S0002-9939-03-07069-2

The approximation order of polysplines
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by Ognyan Kounchev and Hermann Render PDF

Proc. Amer. Math. Soc. 132 (2004), 455-461 Request permission

Abstract:

We show that the scaling spaces defined by the polysplines of order $p$ provide approximation order $2p.$ For that purpose we refine the results on one-dimensional approximation order by $L$-splines obtained by de Boor, DeVore, and Ron (1994).

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