Rational functions associated with double infinite sequences of complex numbers

DOI10.1016/S0377-0427(97)00125-8zbMath0880.41011MaRDI QIDQ1372715

J. Ning

Publication date: 14 December 1997

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

zbMATH Keywords

generating functionLaurent polynomialsSzegö polynomialslinear functionalgeometric convergence

Mathematics Subject Classification ID

Padé approximation (41A21) Moment problems and interpolation problems in the complex plane (30E05) Approximate quadratures (41A55)

Related Items (2)

Foreword to the proceedings of the OrthoQuad 2014 conference ⋮ Gaussian quadrature formulae on the unit circle

Cites Work

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• Rates of convergence of multipoint rational approximants and quadrature formulas on the unit circle
• Laurent series and their Padé approximations
• Placement of cuts in Padé-like approximation
• On two-point Padé-type and two-point Padé approximants
• Two-point partial Padé approximants
• Optimization of two-point Padé-type approximants
• Some results about numerical quadrature on the unit circle
• Partial Padé approximations
• Polynômes orthogonaux formels - applications
• Moment problems and low rank Toeplitz approximations
• The convergence of sequences of rational functions of best approximation
• Convergence of two-point Padé approximants to series of Stieltjes
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS

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