Near-best operators based on a C2 quartic spline on the uniform four-directional mesh

El Bachir Ameur, Domingo Barrera, María J. Ibáñez and Driss Sbibih

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 77, issue 2, 151-160

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.

Keywords: B-splines; Box-splines; Subdivision scheme; Refinable function vector; Near-best quasi-interpolants (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:77:y:2008:i:2:p:151-160

DOI: 10.1016/j.matcom.2007.08.005

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