Markov-Sonin Gaussian rule for singular functions

DOI10.1016/j.cam.2003.12.020zbMath1061.65022OpenAlexW1965765072MaRDI QIDQ1877207

Giuseppe Mastroianni, Donatella Occorsio

Publication date: 16 August 2004

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.2003.12.020

zbMATH Keywords

error estimatesorthogonal polynomialsnumerical examplespolynomial approximationquadrature formulasMarkov-Sonin weight

Mathematics Subject Classification ID

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

Related Items (5)

Generalized pseudospectral method and zeros of orthogonal polynomials ⋮ Nyström methods for bivariate Fredholm integral equations on unbounded domains ⋮ Numerical weighted integration of functions having mixed smoothness ⋮ A Lagrange-type projector on the real line ⋮ Some quadrature formulae with nonstandard weights

Cites Work

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• Polynomial approximation on infinite intervals with weights having inner zeros
• Generalized Christoffel functions and error of positive quadrature
• The numerical computation of some integrals on the real line
• A class of orthogonal polynomials
• Extremal Problems for Polynomials with Exponential Weights
• О лагранжевом интерполировании с узлами в корнях многочленов сонина-маркова

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