Quadrature formulae connected to sigma-orthogonal polynomials

DOI10.1016/S0377-0427(01)00476-9zbMath0997.65045WikidataQ115058805 ScholiaQ115058805MaRDI QIDQ1602801

Miodrag M. Spalević, Gradimir V. Milovanović

Publication date: 24 June 2002

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

zbMATH Keywords

momentsweightsconvergenceorthogonal polynomialsnumerical examplesinfluence functionerror termdegree of precisionquadratures with multiple nodesnonnegative measure

Mathematics Subject Classification ID

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

Related Items (10)

Quadrature rules with multiple nodes for evaluating integrals with strong singularities ⋮ Error analysis in some Gauss-Turán-Radau and Gauss-Turán-Lobatto quadratures for analytic functions. ⋮ Bounds of the error of Gauss-Turán-type quadratures ⋮ Monotonicity of the error term in Gauss-Turán quadratures for analytic function ⋮ Error bounds for Gauss-Turán quadrature formulae of analytic functions ⋮ Maximum of the modulus of kernels in Gauss-Turán quadratures ⋮ Construction of \(\sigma\)-orthogonal polynomials and Gaussian quadrature formulas ⋮ High-precision Gauss-Turán quadrature rules for Laguerre and Hermite weight functions ⋮ The Scientific Work of Gradimir V. Milovanović ⋮ An Error expansion for some Gauss-Turán quadratures and \(L^1\)-estimates of the remainder term

Cites Work

• Calculation of Gauss quadratures with multiple free and fixed knots
• Product of Turán quadratures for cube, simplex, surface of the sphere, \(\overline{E}_n^r\), \(E_n^{r^2}\)
• \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae
• Quadrature formulae
• Formula di quadratura in cui compaiono i valori della funzione e delle derivate con ordine massimo variabile da nodo a nodo
• Formules générales de quadrature mécanique du type de Gauss
• On the Computation of the Coefficients of s-Orthogonal Polynomials
• Turán Formulae and Highest Precision Quadrature Rules for Chebyshev Coefficients
• Quadrature Formulas with Multiple Gaussian Nodes
• Calculation of Gauss Quadrature Rules
• Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation
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