On Chebyshev-type discrete quasi-interpolants

María José Ibáñez-Pérez

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 77, issue 2, 218-227

Abstract: In this paper new discrete quasi-interpolants on the real line are defined with good error constants for enough regular functions. Some oversampling is permitted in order to have some freedom degrees and so a minimization problem is established. This problem has always a solution that can be characterized in terms of the best uniform approximation by constant functions to some appropriate splines. Some examples are given and the error is analyzed.

Keywords: B-splines; Discrete quasi-interpolants; Quasi-interpolation error; Chebyshev-type discrete quasi-interpolants (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:77:y:2008:i:2:p:218-227

DOI: 10.1016/j.matcom.2007.08.018

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