Error bound of Gaussian quadrature rules for certain Gegenbauer weight functions
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Publication:6126084
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
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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- Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szegö weight functions
- The error bounds of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type
- Jacobi polynomials on the Bernstein ellipse
- On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type
- Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results
- Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules
- Error bounds for Gaussian quadrature formulae with Legendre weight function for analytic integrands
- 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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