Hilbert spaces for estimating errors of quadratures for analytic functions
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Publication:5610067
DOI10.1007/BF01936863zbMath0208.18703MaRDI QIDQ5610067
Publication date: 1970
Published in: BIT (Search for Journal in Brave)
General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)
Related Items (9)
Estimating errors of certain Gauss quadrature formulae ⋮ On the very accurate numerical evaluation of the generalized Fermi-Dirac integrals ⋮ Error bounds for the clenshaw-curtis quadrature formulas ⋮ Optimal quadratures for analytic functions ⋮ Error bounds for a Chebyshev quadrature scheme ⋮ Optimale Approximation mit Nebenbedingungen an lineare Funktionale auf \(H^2(E_\rho)\) und \(L^2(E_\rho)\) ⋮ Sulla valutazione dell'errore nel calcolo numerico degli integrali trigonometrici ⋮ Fehlernormen zur Quadratur analytischer Funktionen ⋮ Fehlerabschätzungen für nichtsymmetrische Gauß-Quadraturformeln. (Error estimates for nonsymmetric Gaussian quadrature formulae)
Cites Work
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- Complex quadratures with remainders of minimum norm
- Quadratures with Remainders of Minimum Norm. I
- Asymptotic Error Estimates for the Gauss Quadrature Formula
- Quadratures with Remainders of Minimum Norm. II
- Optimal Quadratures in $L^2 (E_\rho )$. I
- On the Chebyshev Polynomials of the Second Kind
- An Error Analysis for Numerical Multiple Integration. I
- Optimal Quadratures in $L^2 (E_\rho )$. II
- On Davis’s Method for the Estimation of Errors of Gauss-Chebyshev Quadratures
- Asymptotic estimates for the error of the Gauss-Legendre quadrature formula
- On the Estimation of Quadrature Errors for Analytic Functions
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