Gaussian rules on unbounded intervals

DOI10.1016/S0885-064X(03)00008-6zbMath1024.41020OpenAlexW2092008094MaRDI QIDQ1401989

Biancamaria Della Vecchia, Giuseppe Mastroianni

Publication date: 19 August 2003

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0885-064x(03)00008-6

zbMATH Keywords

Lagrange interpolationexponential weightGauss quadrature formulas

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (15)

Markov-Sonin Gaussian rule for singular functions ⋮ Nyström methods for bivariate Fredholm integral equations on unbounded domains ⋮ Marcinkiewicz-Zygmund inequalities and the numerical approximation of singular integrals for exponential weights: Methods, results and open problems, some new, some old ⋮ Suboptimality of Gauss–Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness ⋮ Numerical weighted integration of functions having mixed smoothness ⋮ On the numerical solution of Fredholm integral equations on unbounded intervals ⋮ Numerical integration of functions with a very small significant support ⋮ Polynomial approximation with Pollaczeck-Laguerre weights on the real semiaxis. A survey ⋮ Numerical methods for some special Fredholm integral equations on the real line. ⋮ Gaussian quadrature rules with exponential weights on \((-1,1)\) ⋮ A Lagrange-type projector on the real line ⋮ Some quadrature formulae with nonstandard weights ⋮ A Nyström method for a class of Fredholm integral equations of the third kind on unbounded domains ⋮ Polynomial approximation with Pollaczek-type weights. A survey ⋮ Numerical treatment of a class of systems of Fredholm integral equations on the real line

Cites Work

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• Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights
• Approximation of the Hilbert transform on the real semiaxis using Laguerre zeros
• Polynomial approximation on infinite intervals with weights having inner zeros
• Generalized Christoffel functions and error of positive quadrature
• Rates of Convergence of Gaussian Quadrature for Singular Integrands
• Truncated Quadrature Rules Over $(0,\infty)$ and Nyström-Type Methods
• Jackson and smoothness theorems for Freud weights in \(L_ p (0<p\leq\infty)\)

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