An application of Szegő polynomials to the computation of certain weighted integrals on the real line
From MaRDI portal
Publication:1039272
DOI10.1007/s11075-009-9273-4zbMath1184.65031OpenAlexW2063950453MaRDI QIDQ1039272
Pablo González-Vera, Ruymán Cruz-Barroso, Francisco Perdomo-Pío
Publication date: 27 November 2009
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-009-9273-4
numerical exampleserror boundsSzegő polynomialsGaussian quadrature formulasSzegő quadrature formulasinterpolatory type quadrature formulas
Related Items (3)
Properties of interpolatory quadrature with equidistant nodes on the unit circle ⋮ Quadratures and orthogonality associated with the Cayley transform ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quadrature formulas associated with Rogers-Szegő polynomials
- Orthogonal Laurent polynomials on the unit circle and snake-shaped matrix factorizations
- Continued fractions for Rogers--Szegö polynomials
- Positive interpolatory quadrature formulas and para-orthogonal polynomials
- Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle
- Product rules on the unit circle with uniformly distributed nodes. Error bounds for analytic functions
- Some results about numerical quadrature on the unit circle
- Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials
- Some consequences of a symmetry in strong distributions
- Rational quadrature formulae on the unit circle with arbitrary poles
- A matrix approach to the computation of quadrature formulas on the unit circle
- Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
- A Strong Stieltjes Moment Problem
- ORTHOGONAL RATIONAL FUNCTIONS AND INTERPOLATORY PRODUCT RULES ON THE UNIT CIRCLE
- On the Rogers-Szego polynomials
- Strong Stieltjes distributions and orthogonal Laurent polynomials with applications to quadratures and Padé approximation
- Sequences of orthogonal Laurent polynomials, bi-orthogonality and quadrature formulas on the unit circle
- A connection between quadrature formulas on the unit circle and the interval \([-1,1\)]
This page was built for publication: An application of Szegő polynomials to the computation of certain weighted integrals on the real line