The Rate of Convergence of Chebyshev Polynomials for Functions Which Have Asymptotic Power Series About One Endpoint

DOI10.2307/2007511zbMath0475.41007OpenAlexW4234372837MaRDI QIDQ3931818

John P. Boyd

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2007511

zbMATH Keywords

Chebyshev polynomial seriesindex of exponential convergence

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Power series (including lacunary series) in one complex variable (30B10) General harmonic expansions, frames (42C15) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items

Asymptotic Chebyshev coefficients for two functions with very rapidly or very slowly divergent power series about one endpoint, Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms

Cites Work

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• The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
• The special functions and their approximations. Vol. I, II
• The Rate of Convergence of Hermite Function Series