Szegö polynomials: Quadrature rules on the unit circle and on \([-1,1]\)

DOI10.1216/rmjm/1181069967zbMath1059.41014OpenAlexW1984215640MaRDI QIDQ1425667

S. F. Menegasso, A. Sri Ranga, R. Bressan

Publication date: 17 March 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069967

zbMATH Keywords

Szegő polynomialspara-orthogonal polynomialsGaussian quadature rulesSzegő quadrature rules

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximate quadratures (41A55)

Related Items (1)

Real orthogonal polynomials in frequency analysis

Cites Work

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• On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval
• Szegő polynomials and quadrature formulas on the unit circle
• Some results about numerical quadrature on the unit circle
• Über die Konvergenz von Quadraturverfahren
• Szegö polynomials: Some relations to \(L\)-orthogonal and orthogonal polynomials
• Linear Combinations of Orthogonal Polynomials Generating Positive Quadrature Formulas
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• A Strong Stieltjes Moment Problem
• A connection between quadrature formulas on the unit circle and the interval \([-1,1\)]

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