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|Type:||Artigo de periódico|
|Title:||Approximation in L-2 Sobolev spaces on the 2-sphere by quasi-interpolation|
|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.|
|Editor:||Birkhauser Boston Inc|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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