Properties of interpolatory quadrature with equidistant nodes on the unit circle

DOI10.1007/s11075-017-0318-9zbMath1384.41021OpenAlexW2603102028MaRDI QIDQ684180

Juan Carlos Santos-León, Adhemar Bultheel

Publication date: 9 February 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/579264

zbMATH Keywords

momentsasymptotic expansionquadrature formulaspositive weightsÅström procedurerational weight functions

Mathematics Subject Classification ID

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

Related Items (1)

Extremal polynomials on the unit circle with preassigned zeros and two-point partial Padé approximation

Cites Work

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• Quadrature formulas associated with Rogers-Szegő polynomials
• An application of Szegő polynomials to the computation of certain weighted integrals on the real line
• A circular stability test for general polynomials
• On the unit circle problem: The Schur-Cohn procedure revisited
• Interpolatory quadrature formulas on the unit circle for Chebyshev weight functions
• Product rules on the unit circle with uniformly distributed nodes. Error bounds for analytic functions
• A Simple Computation of ζ (2<em>k</em>)
• Solution of the bilinear matrix equation using Astrom-Jury-Agniel algorithm
• Shorter Notes: A Simple Proof of Jacobi's Triple Product Identity
• Zero location of polynomials with respect to the unit-circle unhampered by nonessential singularities
• Recursive formulas for the evaluation of certain complex integrals.
• Adjusted Forms of the Fourier Coefficient Asymptotic Expansion and Applications in Numerical Quadrature

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