Refinable interpolatory and quasi-interpolatory operators

Laura Gori, Francesca Pitolli and Elisabetta Santi

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 75, issue 5, 191-199

Abstract: In this paper, we present a new class of operators, which are refinable, quasi-interpolatory and satisfy some interpolation conditions. The refinability is achieved by using as functional bases the B-bases corresponding to totally positive refinable functions. We analyze the main properties of the constructed refinable operators and give some convergence results. Some examples are also displayed.

Keywords: Total positivity; B-bases; Linear operators; Multiresolution analysis (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:75:y:2007:i:5:p:191-199

DOI: 10.1016/j.matcom.2006.12.005

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