On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type
type: Item
instance of: scholarly article
title: On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type
zbMATH Open document ID: 1505.65152
author: Ramón Orive
author: Aleksandar V. Pejčev
author: Miodrag M. Spalević
author: Ljubica Mihić
published in: Numerical Algorithms
publication date: 2022-11-22T00:00:00Z
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 7621835
zbMATH Keywords: Gauss-Kronrod quadrature formulae
zbMATH Keywords: Chebyshev weight function
zbMATH Keywords: contour integral representation
zbMATH Keywords: remainder term for analytic functions
zbMATH Keywords: error bound
describes a project that uses: OPQ
MaRDI profile type: Publication
full work available at URL: s11075-022-01325-8
OpenAlex ID: W4281740952
Wikidata QID: Q113900677
cites work: Q5585761
cites work: Q3350092
cites work: Computation of Gauss-Kronrod quadrature rules
cites work: Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results
cites work: Q3032744
cites work: Q4204593
cites work: Q4820343
cites work: A set of orthogonal polynomials induced by a given orthogonal polynomial
cites work: Error Bounds for Gaussian Quadrature of Analytic Functions
cites work: Q4515165
cites work: Some error expansions for Gaussian quadrature
cites work: Q5339721
cites work: Calculation of Gauss-Kronrod quadrature rules
cites work: Error bounds for Gauss-Turán quadrature formulae of analytic functions
cites work: An Error expansion for some Gauss-Turán quadratures and \(L^1\)-estimates of the remainder term
cites work: Stieltjes polynomials and Gauss-Kronrod quadrature formulae for measures induced by Chebyshev polynomials
cites work: Integral formulas for Chebyshev polynomials and the error term of interpolatory quadrature formulae for analytic functions
cites work: The error norm of quadrature formulae
cites work: Gauss-Kronrod quadrature formulae. A survey of fifty years of research
cites work: The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type
cites work: The error bounds of Gauss-Radau quadrature formulae with Bernstein-Szegő weight functions
cites work: On the remainder term of Gauss-Radau quadrature with Chebyshev weight of the third kind for analytic functions
cites work: The remainder term for analytic functions of symmetric Gaussian quadratures
cites work: Error Bounds and Estimates for Gauss--Turán Quadrature Formulae of Analytic Functions
cites work: Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szegö weight functions
cites work: Über gewisse orthogonale Polynome, die zu einer oszillierenden Belegungsfunktion gehören
DOI: 10.1007/S11075-022-01325-8
description: scientific article; zbMATH DE number 7621835