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Type: Artigo de periódico
Title: Approximation in L-2 Sobolev spaces on the 2-sphere by quasi-interpolation
Author: Gomes, SM
Kushpel, AK
Levesley, J
Abstract: In this article we consider a simple method of radial quasi-interpolation by polynomials on the unit sphere in R-3, and present rates of convergence for this method in Sobolev spaces of square integrable functions. We write the discrete Fourier series as a quasi-interpolant and hence obtain convergence rates, in the aforementioned Sobolev spaces, for the discrete Fourier projection. we also discuss some typical practical examples used in the context of spherical wavelets.
Subject: quasi-interpolation
Sobolev spaces
Country: EUA
Editor: Birkhauser Boston Inc
Rights: fechado
Identifier DOI: 10.1007/BF02511814
Date Issue: 2001
Appears in Collections:Unicamp - Artigos e Outros Documentos

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