Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140494 | Mathematics and Computers in Simulation | 2008 | 10 Pages |
Abstract
We present some results about the construction of quasi-interpolant operators based on a special C2 quartic B-spline. We show that these operators, called near-best quasi-interpolants, have the best approximation order and small infinity norms. They are obtained by solving a minimization problem that admits always a solution. We give an error bound of these quasi-interpolants and we illustrate our results by a numerical example.
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Authors
El Bachir Ameur, Domingo Barrera, MarÃa J. Ibáñez, Driss Sbibih,