Bounds on Projections onto Bivariate Polynomial Spline Spaces with Stable Local Bases |
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| Authors: | M von Golitschek L L Schumaker |
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| Institution: | M. von Golitschek Institut für Angewandte Mathematik und Statistik der Universit?t Würzburg 97074 Würzburg Germany goli@mathematik.uni-wuerzburg.de, DE
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| Abstract: | L
&
∞ bounds for norms of projections onto bivariate polynomial spline spaces on regular triangulations with stable local bases
are established. The general results are then applied to obtain error bounds for best L
2
- and l
2
-approximation by splines on quasi-uniform triangulations.
March 8, 2000. Date revised: November 20, 2000. Date accepted: July 9, 2001. |
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| Keywords: | , Bivariate splines, Norms of projections, Spline approximation, AMS Classification, Primary, 41A15, Secondary, 41A25, |
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