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Filbir, F. ; Mhaskar, H.N.* ; Prestin, J.*

On a filter for exponentially localized kernels based on Jacobi polynomials.

J. Approx. Theory 160, 256-280 (2009)
DOI
Open Access Green as soon as Postprint is submitted to ZB.
Let View the MathML source, and for k=0,1, View the MathML source denote the orthonormalized Jacobi polynomial of degree k. We discuss the construction of a matrix H so that there exist positive constants c, c1, depending only on H, α, and β such that View the MathML source Specializing to the case of Chebyshev polynomials, View the MathML source, we apply this theory to obtain a construction of an exponentially localized polynomial basis for the corresponding L2 space.
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Publication type Article: Journal article
Document type Scientific Article
Keywords Spectral approximation; Detection of analytic singularities; Polynomial frames; Filters and mollifiers; Riesz basis
ISSN (print) / ISBN 0021-9045
e-ISSN 1096-0430
Journal Journal of Approximation Theory
Quellenangaben Volume: 160, Issue: 1-2, Pages: 256-280 Article Number: , Supplement: ,
Publisher Elsevier
Reviewing status Peer reviewed
Institute(s) Institute of Biomathematics and Biometry (IBB)