Markov-Sonin Gaussian rule for singular functions
type: Item
instance of: scholarly article
title: Markov-Sonin Gaussian rule for singular functions
zbMATH Open document ID: 1061.65022
author: Giuseppe Mastroianni
author: Donatella Occorsio
published in: Journal of Computational and Applied Mathematics
publication date: 2004-08-16T00:00:00Z
review text: The authors construct a quadrature formula of Gaussian type for the computation of integrals \(\int_{\mathbb{R}} fW_\beta dx\), where \(W_\beta(x)= e^{-x^2}|x|^\beta\), \(\beta> -1\), is a Markov-Sonin weight and \(f\) can be singular at the origin. Error estimates in weighted \(L^1\) norm and some numerical tests are given.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 2091435
zbMATH Keywords: quadrature formulas
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: polynomial approximation
zbMATH Keywords: numerical examples
zbMATH Keywords: Markov-Sonin weight
zbMATH Keywords: error estimates
reviewed by: Dumitru Acu
MaRDI profile type: Publication
full work available at URL: j.cam.2003.12.020
OpenAlex ID: W1965765072
cites work: Q4853805
cites work: Q5533688
cites work: Approximation of the Hilbert transform on the real semiaxis using Laguerre zeros
cites work: Q4439467
cites work: Gaussian rules on unbounded intervals
cites work: Q3817079
cites work: A class of orthogonal polynomials
cites work: О лагранжевом интерполировании с узлами в корнях многочленов сонина-маркова
cites work: Q4200654
cites work: Generalized Christoffel functions and error of positive quadrature
cites work: Q4801527
cites work: Q4788709
cites work: Polynomial approximation on infinite intervals with weights having inner zeros
cites work: The numerical computation of some integrals on the real line
cites work: Extremal Problems for Polynomials with Exponential Weights
cites work: Q4360405
DOI: 10.1016/J.CAM.2003.12.020
description: scientific article; zbMATH DE number 2091435