Error bound of Gaussian quadrature rules for certain Gegenbauer weight functions

DOI10.1016/J.CAM.2023.115661OpenAlexW4388366304MaRDI QIDQ6126084

Miodrag M. Spalević, D. R. Jandrlić, Aleksandar V. Pejčev

Publication date: 9 April 2024

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

Full work available at URL: https://doi.org/10.1016/j.cam.2023.115661

zbMATH Keywords

error boundGegenbauer polynomialsGauss quadrature formulaeremainder term for analytic function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Cites Work

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• The error bounds of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type
• Jacobi polynomials on the Bernstein ellipse
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• Error Bounds for Gaussian Quadrature of Analytic Functions
• Integral formulas for Chebyshev polynomials and the error term of interpolatory quadrature formulae for analytic functions
• The remainder term for analytic functions of symmetric Gaussian quadratures
• A note on ``Error bounds of Gaussian quadrature formulae with Legendre weight function for analytic integrands by M. M. Spalević et al.

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