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The approximation order of polysplines |
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| Authors: | Ognyan Kounchev Hermann Render |
| Affiliation: | Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev St. 8, 1113 Sofia, Bulgaria ; Institute of Mathematics, University of Duisburg-Essen, Lotharstr. 65, 47048 Duisburg, Germany |
| 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). |
| Keywords: | Cardinal splines cardinal $L$-splines polysplines approximation order of splines polyharmonic functions cardinal polysplines. |
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