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. © 2007 IMACS.
Refinable interpolatory and quasi-interpolatory operators / Gori, Laura; Pitolli, Francesca; Elisabetta, Santi. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - STAMPA. - 75:5-6(2007), pp. 191-199. [10.1016/j.matcom.2006.12.005]
Refinable interpolatory and quasi-interpolatory operators
GORI, Laura;PITOLLI, Francesca;
2007
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. © 2007 IMACS.| File | Dimensione | Formato | |
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