Product rules on the unit circle with uniformly distributed nodes. Error bounds for analytic functions

DOI10.1016/S0377-0427(99)00110-7zbMath0934.41020MaRDI QIDQ1807804

Juan Carlos Santos-León

Publication date: 23 November 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

approximate quadratures

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (8)

Orthogonality, interpolation and quadratures on the unit circle and the interval \([-1,1\)] ⋮ Properties of interpolatory quadrature with equidistant nodes on the unit circle ⋮ Quadratures and orthogonality associated with the Cayley transform ⋮ Computation of integrals over the unit circle with nearby poles ⋮ Quadrature and orthogonal rational functions ⋮ Quadrature formulas associated with Rogers-Szegő polynomials ⋮ An application of Szegő polynomials to the computation of certain weighted integrals on the real line ⋮ Error bounds for interpolatory quadrature rules on the unit circle

Cites Work

• Rates of convergence of multipoint rational approximants and quadrature formulas on the unit circle
• Applications of Szegö polynomials to digital signal processing
• Orthogonal rational functions and nested disks
• Some results about numerical quadrature on the unit circle
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• Properties of Interpolatory Product Integration Rules
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