Asymptotic expansion of Fourier coefficients associated to functions with low continuity

DOI10.1016/S0377-0427(99)00190-9zbMath0979.42011MaRDI QIDQ1970397

M. Kzaz

Publication date: 5 February 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionorthogonal polynomialsFourier-Chebyshev series

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (4)

Analysis of Error Localization of Chebyshev Spectral Approximations ⋮ The spherical harmonic spectrum of a function with algebraic singularities ⋮ Asymptotic coefficients and errors for Chebyshev polynomial approximations with weak endpoint singularities: effects of different bases ⋮ The Crane equation \(u u_{x x} = - 2\): the general explicit solution and a case study of Chebyshev polynomial series for functions with weak endpoint singularities

Cites Work

• Techniques of asymptotic analysis
• Some Estimates of the Coefficients in the Chebyshev Series Expansion of a Function
• The Evaluation and Estimation of the Coefficients in the Chebyshev Series Expansion of a Function

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