A note on the bounds of the error of Gauss--Turán-type quadratures

DOI10.1016/j.cam.2005.12.021zbMath1105.41025OpenAlexW1725925349WikidataQ115058757 ScholiaQ115058757MaRDI QIDQ859888

Gradimir V. Milovanović, Miodrag M. Spalević

Publication date: 22 January 2007

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.2005.12.021

zbMATH Keywords

Gauss-Turán quadrature formulaerror bounds for analytic functionsGori-Michelli weight function

Mathematics Subject Classification ID

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

Related Items (5)

Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results ⋮ Bounds of the error of Gauss-Turán-type quadratures. II. ⋮ The error norm of quadrature formulae ⋮ The Scientific Work of Gradimir V. Milovanović ⋮ The remainder term of Gauss-Radau quadrature rule with single and double end point

Cites Work

• Unnamed Item
• Bounds of the error of Gauss-Turán-type quadratures
• Quadrature formulae
• An Error expansion for some Gauss-Turán quadratures and \(L^1\)-estimates of the remainder term
• Error bounds for Gauss-Turán quadrature formulae of analytic functions
• On weight functions which admit explicit Gauss-Turán quadrature formulas
• Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation

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