A note on ``Error bounds of Gaussian quadrature formulae with Legendre weight function for analytic integrands by M. M. Spalević et al.

DOI10.1553/ETNA_VOL59S89zbMath1520.65017OpenAlexW4379406672MaRDI QIDQ6076068

Aleksandar V. Pejčev

Publication date: 21 September 2023

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

Full work available at URL: http://etna.mcs.kent.edu/volumes/2021-2030/vol59/abstract.php?vol=59&pages=89-98

zbMATH Keywords

error boundquadrature formulaLegendre weight function

Mathematics Subject Classification ID

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

Related Items (1)

Error bound of Gaussian quadrature rules for certain Gegenbauer weight functions

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 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

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