Error bounds for Gaussian quadrature formulae with Legendre weight function for analytic integrands

DOI10.1553/ETNA_VOL55S424zbMath1487.65029OpenAlexW4225752310MaRDI QIDQ2672188

Miodrag M. Spalević, Aleksandar V. Pejčev, D. M. Krtinić, D. R. Jandrlić, Ljubica Mihić

Publication date: 8 June 2022

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1553/etna_vol55s424

zbMATH Keywords

error boundLegendre polynomialsGauss quadrature formulaeremainder term for analytic function

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (2)

A note on ``Error bounds of Gaussian quadrature formulae with Legendre weight function for analytic integrands by M. M. Spalević et al. ⋮ Error bound of Gaussian quadrature rules for certain Gegenbauer weight functions

Uses Software

• OPQ

Cites Work

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• Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szegö weight functions
• Error bounds for Gauss-Kronrod quadrature formulae of analytic functions
• The error bounds of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type
• Jacobi polynomials on the Bernstein ellipse
• Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results
• Error Bounds for Gaussian Quadrature of Analytic Functions
• Integral formulas for Chebyshev polynomials and the error term of interpolatory quadrature formulae for analytic functions

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