The approximation order of polysplines

O Kounchev, H Render - Proceedings of the American Mathematical …, 2004 - ams.org
O Kounchev, H Render
Proceedings of the American Mathematical Society, 2004ams.org
We show that the scaling spaces defined by the polysplines of order $ p $ provide
approximation order $2 p. $ For that purpose we refine the results on one-dimensional
approximation order by $ L $-splines obtained by de Boor, DeVore, and Ron (1994).
References
Abstract
We show that the scaling spaces defined by the polysplines of order provide approximation order For that purpose we refine the results on one-dimensional approximation order by -splines obtained by de Boor, DeVore, and Ron (1994). References
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