Error bounds for interpolatory quadrature rules on the unit circle

DOI10.1090/S0025-5718-00-01260-6zbMath0965.41018MaRDI QIDQ4517522

Juan Carlos Santos-León

Publication date: 22 November 2000

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

error boundsquadrature formulasingular integrandSzegő polynomial

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30)

Related Items

Orthogonality, interpolation and quadratures on the unit circle and the interval \([-1,1\)], Rational quadrature formulae on the unit circle with arbitrary poles, Computation of integrals over the unit circle with nearby poles, Szegő-type quadrature formulas

Cites Work

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• Continued fractions associated with trigonometric and other strong moment problems
• Product rules on the unit circle with uniformly distributed nodes. Error bounds for analytic functions
• Some results about numerical quadrature 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