Error estimates for Gaussian quadratures of analytic functions

DOI10.1016/j.cam.2009.02.048zbMath1181.41048OpenAlexW2021115034WikidataQ115058736 ScholiaQ115058736MaRDI QIDQ1035635

Gradimir V. Milovanović, Miroslav S. Pranić, Miodrag M. Spalević

Publication date: 4 November 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.048

zbMATH Keywords

error boundKronrod extensionGaussian quadrature formulaChebyshev weight function

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (6)

Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results ⋮ The error norm of quadrature formulae ⋮ Error estimates for quadrature rules with maximal even trigonometric degree of exactness ⋮ The Scientific Work of Gradimir V. Milovanović ⋮ Rational averaged gauss quadrature rules ⋮ Error estimates for some quadrature rules with maximal trigonometric degree of exactness

Uses Software

• OPQ

Cites Work

• Some error expansions for Gaussian quadrature
• Error Bounds for Gaussian Quadrature of Analytic Functions
• A Note on the Contour Integral Representation of the Remainder Term for a Gauss–Chebyshev Quadrature Rule
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