Some quadrature formulae with nonstandard weights

DOI10.1016/j.cam.2010.06.011zbMath1210.41008OpenAlexW2030258152MaRDI QIDQ708282

Donatella Occorsio, Giuseppe Mastroianni

Publication date: 11 October 2010

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.2010.06.011

zbMATH Keywords

orthogonal polynomialsquadrature formulaeapproximation by polynomialsGauss-type quadrature formulae

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (11)

Approximation of Hilbert and Hadamard transforms on \((0,+\infty)\) ⋮ A new quadrature scheme based on an extended Lagrange interpolation process ⋮ Averaged cubature schemes on the real positive semiaxis ⋮ Nyström methods for bivariate Fredholm integral equations on unbounded domains ⋮ On Nyström and Product Integration Methods for Fredholm Integral Equations ⋮ A product integration rule for hypersingular integrals on \((0,+\infty)\) ⋮ Mean convergence of an extended Lagrange interpolation process on \([0,+\infty)\) ⋮ On the simultaneous approximation of a Hilbert transform and its derivatives on the real semiaxis ⋮ A Nyström Method for Solving a Boundary Value Problem on [0, ∞) ⋮ A numerical method for linear Volterra integral equations on infinite intervals and its application to the resolution of metastatic tumor growth models ⋮ Extended Lagrange interpolation in weighted uniform norm

Uses Software

• OrthogonalPolynomials

Cites Work

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• \(L^p\)-convergence of Lagrange interpolation on the semiaxis
• Gaussian rules on unbounded intervals
• Numerical approximation of weakly singular integrals on the half line
• Orthonormal polynomials with generalized Freud-type weights.
• Markov-Sonin Gaussian rule for singular functions
• Half-Range Generalized Hermite Polynomials and the Related Gaussian Quadratures
• Truncated Quadrature Rules Over $(0,\infty)$ and Nyström-Type Methods

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