On Generalized Gaussian Quadrature
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Publication:4089711
DOI10.2307/2005746zbMath0325.65008OpenAlexW4241851055MaRDI QIDQ4089711
Yudell L. Luke, Bing Y. Ting, Marilyn J. Kemp
Publication date: 1975
Full work available at URL: https://doi.org/10.2307/2005746
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximate quadratures (41A55) Numerical integration (65D30)
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Cites Work
- The special functions and their approximations. Vol. I, II
- Convergence Properties of Gaussian Quadrature Formulae
- On the error in a certain interpolation formula and in the Gaussian integration formula
- Error-Bounds for the Evaluation of Integrals by the Euler-Maclaurin Formula and by Gauss-Type Formulae
- Error Estimates for Gauss Quadrature Formulas for Analytic Functions
- Asymptotic Error Estimates for the Gauss Quadrature Formula
- Asymptotic Gauss Quadrature Errors as Fourier Coefficients of the Integrand
- Errors in the Representation of a Function by Chebyshev Polynomials of the Second Kind
- Coefficients in Series Expansions for Certain Classes of Functions
- A Unified Approach to Quadrature Rules with Asymptotic Estimates of Their Remainders
