Asymptotic expansion of Fourier coefficients associated to functions with low continuity

The aim of this paper is to give the asymptotic expansion of the coefficients in the Chebyshev series expansion of a function possessing algebraic or logarithmic interior singularities. Some numerical examples are given.

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 114; no. 2; pp. 217 - 230
Main Author Kzaz, M.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.02.2000
Elsevier
Subjects
Approximations and expansions
Asymptotic expansion
Chebyshev series
Exact sciences and technology
Fourier analysis
Mathematical analysis
Mathematics
Orthogonal polynomials
Sciences and techniques of general use
Special functions
Asymptotic expansion
Chebyshev series
Orthogonal polynomials
Singularity
Fourier coefficient
Tchebychev polynomial
Tchebychev series
Orthogonal polynomial
Convergence
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Summary:The aim of this paper is to give the asymptotic expansion of the coefficients in the Chebyshev series expansion of a function possessing algebraic or logarithmic interior singularities. Some numerical examples are given.
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(99)00190-9