The approximation order of polysplines
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- by Ognyan Kounchev and Hermann Render
- Proc. Amer. Math. Soc. 132 (2004), 455-461
- DOI: https://doi.org/10.1090/S0002-9939-03-07069-2
- Published electronically: July 31, 2003
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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).References
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Bibliographic Information
- Ognyan Kounchev
- Affiliation: Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev St. 8, 1113 Sofia, Bulgaria
- Email: kounchev@cblink.net, kounchev@math.uni-duisburg.de, kounchev@math.bas.bg
- Hermann Render
- Affiliation: Institute of Mathematics, University of Duisburg-Essen, Lotharstr. 65, 47048 Duisburg, Germany
- MR Author ID: 268351
- Email: render@math.uni-duisburg.de
- Received by editor(s): April 5, 2002
- Received by editor(s) in revised form: October 2, 2002
- Published electronically: July 31, 2003
- Communicated by: David Sharp
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 455-461
- MSC (2000): Primary 41A15; Secondary 35J40, 31B30
- DOI: https://doi.org/10.1090/S0002-9939-03-07069-2
- MathSciNet review: 2022369