Error bounds for Gauss-Jacobi quadrature of analytic functions on an ellipse
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Publication:6622393
DOI10.1090/MCOM/3977MaRDI QIDQ6622393
Takemitsu Hasegawa, Hiroshi Sugiura
Publication date: 22 October 2024
Published in: Mathematics of Computation (Search for Journal in Brave)
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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- Error estimates for Gaussian quadrature formulae
- 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
- Sharp error bounds for Jacobi expansions and Gegenbauer-Gauss quadrature of analytic functions
- Error Bounds for Gaussian Quadrature of Analytic Functions
- On exponential convergence of Gegenbauer interpolation and spectral differentiation
- 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
Related Items (2)
Error bounds for Gauss-Lobatto quadrature of analytic functions on an ellipse ⋮ Computation of Gauss-type quadrature rules
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