Gaussian quadrature of Chebyshev polynomials

DOI10.1016/S0377-0427(98)00074-0zbMath0956.41018OpenAlexW1976833400MaRDI QIDQ1298798

Geno Nikolov, D. B. Hunter

Publication date: 7 March 2001

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00074-0

zbMATH Keywords

errorsChebyshev polynomialsGaussian quadratureweight functions

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (6)

The numerical evaluation of the error term in a quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight function ⋮ A quadrature rule for weighted Cauchy integrals ⋮ A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight-function ⋮ Error estimates for quadrature rules with maximal even trigonometric degree of exactness ⋮ Error estimates for some quadrature rules with maximal trigonometric degree of exactness ⋮ The Chebyshev points of the first kind

Cites Work

• On a conjecture of D. B. Hunter
• Some error expansions for Gaussian quadrature
• Gaussian integration of Chebyshev polynomials and analytic functions
• On the Error in the Numerical Integration of Chebyshev Polynomials
• On the Gaussian Integration of Chebyshev Polynomials
• The Evaluation and Estimation of the Coefficients in the Chebyshev Series Expansion of a Function

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