Recent results on wavelet bases on the interval generated by GP refinable functions

Authors:
Laura Gori;Laura Pezza;Francesca Pitolli
Affiliations:
Department MeMoMat, Università, La Sapienza, Roma, Italy;Department MeMoMat, Università, La Sapienza, Roma, Italy;Department MeMoMat, Università, La Sapienza, Roma, Italy
Venue:
Applied Numerical Mathematics - Applied scientific computing: Advances in grid generation, approximation and numerical modeling
Year:
2004

Citing 1
Cited 1

Refinable functions and positive operators

Applied Numerical Mathematics - Special issue: Applied scientific computing - Grid generation, approximated solutions and visualization

Sampling theorems on bounded domains

Journal of Computational and Applied Mathematics

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Abstract

In this paper, we present two different classes of refinable functions, wavelets and their duals on a bounded interval with the aim of giving a few applications. In both cases the starting point is the family of GP refinable functions on R. The performances exhibited by the mentioned two classes are compared each other, as well as with the B-spline case.