Construction of univariate spline quasi-interpolants with symmetric functions

A. Serghini and A. Tijini

Mathematics and Computers in Simulation (MATCOM), 2015, vol. 118, issue C, 329-342

Abstract: A new approach to construct univariate spline quasi-interpolants on arbitrary partitions of bounded intervals is developed. In the first part of this paper, we give some results about the symmetric functions of the difference of two finite sets. These results are used, in the second part of this work, to construct explicitly different types of quasi-interpolants. We revise the definition of a uniformly bounded quasi-interpolant and we propose some results on this subject. Some numerical examples are given to illustrate our theoretical results.

Keywords: Symmetric functions; Quasi-interpolants; Uniformly bounded operators (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:118:y:2015:i:c:p:329-342

DOI: 10.1016/j.matcom.2014.11.028

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