On the Convergence of the Chebyshev Series for Functions Possessing a Singularity in the Range of Representation

DOI10.1137/0703034zbMath0171.31803OpenAlexW2067331255MaRDI QIDQ5558070

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Publication date: 1966

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0703034

zbMATH Keywords

approximation and series expansion

Related Items (7)

Asymptotic Fourier coefficients for a \(C^\infty\) bell (smoothed-``top-hat) \& the Fourier extension problem ⋮ Asymptotic Chebyshev coefficients for two functions with very rapidly or very slowly divergent power series about one endpoint ⋮ Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities ⋮ The optimization of convergence for Chebyshev polynomial methods in an unbounded domain ⋮ The relationships between Chebyshev, Legendre and Jacobi polynomials: the generic superiority of Chebyshev polynomials and three important exceptions ⋮ Coefficients in Series Expansions for Certain Classes of Functions ⋮ Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms

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