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Type: Artigo de periódico
Title: On the norm of the Fourier-Gegenbauer projection in weighted L-p spaces
Author: Levesley, J
Kushpel, AK
Abstract: We extend the results of Pollard [4] and give asymptotic estimates for the norm of the Fourier-Gegenbauer projection operator in the appropriate weighted L-p space. In particular, we settle the question of whether the projection is bounded for p = (2 lambda + 1)/lambda and p = (2 lambda + 1)/(lambda + 1), where lambda is the index for the family of Gegenbauer polynomials under consideration.
Subject: Fourier-Gegenbauer projection
Lebesgue constants
Country: EUA
Editor: Springer Verlag
Citation: Constructive Approximation. Springer Verlag, v. 15, n. 3, n. 369, n. 379, 1999.
Rights: fechado
Identifier DOI: 10.1007/s003659900113
Date Issue: 1999
Appears in Collections:Unicamp - Artigos e Outros Documentos

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