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Refinable interpolatory and quasi-interpolatory operators

โœ Scribed by Laura Gori; Francesca Pitolli; Elisabetta Santi

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
448 KB
Volume
75
Category
Article
ISSN
0378-4754

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โœฆ Synopsis

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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