On weight functions which admit explicit Gauss-Turán quadrature formulas

DOI10.1090/S0025-5718-96-00769-7zbMath0853.65027OpenAlexW2055983109MaRDI QIDQ4718407

Laura Gori, Charles A. Micchelli

Publication date: 3 December 1996

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-96-00769-7

zbMATH Keywords

quadraturegeneralized Jacobi weightsTurán-type integration rules

Mathematics Subject Classification ID

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

Related Items (16)

Quadrature rules with multiple nodes for evaluating integrals with strong singularities ⋮ Estimating the error of Gaussian quadratures with simple and multiple nodes by using their extensions with multiple nodes ⋮ A note on the bounds of the error of Gauss--Turán-type quadratures ⋮ On the Birkhoff quadrature formulas using even and odd order of derivatives ⋮ Error estimations of Turán formulas with Gori-Micchelli and generalized Chebyshev 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 ⋮ Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation ⋮ Bounds of the error of Gauss-Turán-type quadratures. II. ⋮ On a quadrature formula of Gori and Micchelli ⋮ Bounds of the error of Gauss-Turán-type quadratures ⋮ Error bounds for Gauss-Turán quadrature formulae of analytic functions ⋮ The Remainder Term of Gauss–Turán Quadratures for Analytic Functions ⋮ On Turán quadrature formulas for the Chebyshev weight ⋮ New quadrature formulas based on the zeros of the Chebyshev polynomials of the second kind ⋮ Quadrature rules using first derivatives for oscillatory integrands

Cites Work

• Calculation of Gauss quadratures with multiple free and fixed knots
• On some open problems of approximation theory
• On the convergence of Turán type rules for Cauchy principal value integrals
• On the evaluation of Hilbert transforms by means of a particular class of Turán quadrature rules
• Quadrature formulae
• Замечание О Механичецкой Квадратуре
• Mean Convergence of Lagrange Interpolation. III
• Turán Formulae and Highest Precision Quadrature Rules for Chebyshev Coefficients
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