On the decay rate of Chebyshev coefficients

DOI10.1016/j.apnum.2016.11.004zbMath1355.65040OpenAlexW2555875623MaRDI QIDQ729985

Hassan Majidian

Publication date: 23 December 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.11.004

zbMATH Keywords

error boundClenshaw-Curtis pointsChebyshev approximationChebyshev coefficients

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Computation of special functions and constants, construction of tables (65D20) Numerical approximation and evaluation of special functions (33F05)

Related Items (6)

Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation ⋮ On the optimal convergence rates of Chebyshev interpolations for functions of limited regularity ⋮ Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities ⋮ Optimal error estimates for Chebyshev approximations of functions with endpoint singularities in fractional spaces ⋮ Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces ⋮ Efficient construction of FCC+ rules

Cites Work

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• Error bounds for approximation in Chebyshev points
• Functional data analysis
• Fourier and barycentric formulae for equidistant Hermite trigonometric interpolation
• Barycentric Lagrange Interpolation
• On the Convergence Rates of Gauss and Clenshaw--Curtis Quadrature for Functions of Limited Regularity
• Is Gauss Quadrature Better than Clenshaw–Curtis?

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