Quadrature formulas associated with Rogers-Szegő polynomials

DOI10.1016/j.camwa.2008.10.068zbMath1165.65324OpenAlexW2140815949MaRDI QIDQ1029878

Ruymán Cruz-Barroso, Pablo González-Vera, Francisco Perdomo-Pío

Publication date: 13 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.10.068

zbMATH Keywords

error boundsRogers-Szegő polynomialsinterpolatory-type quadrature formulasSzegő quadrature formulas

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Numerical integration (65D30)

Related Items

Basic hypergeometric functions and orthogonal Laurent polynomials, Properties of interpolatory quadrature with equidistant nodes on the unit circle, Quadratures and orthogonality associated with the Cayley transform, Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity, Mean convergence of Lagrange interpolation, Szegő polynomials from hypergeometric functions, Zeros of quasi-paraorthogonal polynomials and positive quadrature, An application of Szegő polynomials to the computation of certain weighted integrals on the real line, Foreword to the proceedings of the OrthoQuad 2014 conference, Matrix methods for quadrature formulas on the unit circle. A survey, Multiple orthogonal polynomials on the unit circle. Normality and recurrence relations

Cites Work

• Domain of validity of Szegő quadrature formulas
• Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials
• Continued fractions for Rogers--Szegö 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
• On bi-orthogonal systems of trigonometric functions and quadrature formulas for periodic integrands
• 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
• ORTHOGONAL RATIONAL FUNCTIONS AND INTERPOLATORY PRODUCT RULES ON THE UNIT CIRCLE
• On the Rogers-Szego polynomials
• Sequences of orthogonal Laurent polynomials, bi-orthogonality and quadrature formulas on the unit circle
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