Refinable interpolatory and quasi-interpolatory operators

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.

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Year of publication:	2007
Authors:	Gori, Laura ; Pitolli, Francesca ; Santi, Elisabetta
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 75.2007, 5, p. 191-199
Publisher:	Elsevier
Subject:	Total positivity \| B-bases \| Linear operators \| Multiresolution analysis

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010749488