Maximum of the modulus of kernels in Gauss-Turán quadratures

DOI10.1090/S0025-5718-07-02032-7zbMath1149.41011OpenAlexW1988296940WikidataQ115058745 ScholiaQ115058745MaRDI QIDQ5444314

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

Publication date: 25 February 2008

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-07-02032-7

zbMATH Keywords

Approximate quadraturesQuadrature and cubature formulasNumerical integration

Mathematics Subject Classification ID

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

Related Items (7)

Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szegö weight functions ⋮ Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results ⋮ Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients ⋮ 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–Turán Quadratures for Analytic Functions

Uses Software

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Cites Work

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• Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type
• \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae
• Quadrature formulae connected to sigma-orthogonal polynomials
• Calculation of Gaussian-type quadratures with multiple nodes
• Quadrature formulae
• An Error expansion for some Gauss-Turán quadratures and \(L^1\)-estimates of the remainder term
• Error Bounds for Gaussian Quadrature of Analytic Functions
• Error bounds for Gauss-Turán quadrature formulae of analytic functions
• On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions
• A Note on the Contour Integral Representation of the Remainder Term for a Gauss–Chebyshev Quadrature Rule
• A Unified Approach to Quadrature Rules with Asymptotic Estimates of Their Remainders
• The remainder term for analytic functions of symmetric Gaussian quadratures
• Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation
• The remainder term for analytic functions of Gauss-Lobatto quadratures

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