On the convergence of multipoint Padé-type approximants and quadrature formulas associated with the unit circle

DOI10.1007/BF02207699zbMath0864.41016MaRDI QIDQ676934

Adhemar Bultheel, Pablo González-Vera, Erik Hendriksen, Olav Njåstad

Publication date: 23 March 1997

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

zbMATH Keywords

quadrature formulasorthogonal rational functionsmultipoint Padé-type approximation

Mathematics Subject Classification ID

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

Related Items (9)

Two-point Padé approximation to Herglotz-Riesz transforms ⋮ Rational approximants associated with measures supported on the unit circle and the real line ⋮ Rates of convergence of multipoint rational approximants and quadrature formulas on the unit circle ⋮ Quadrature and orthogonal rational functions ⋮ Bernstein equiconvergence and Fejér-type theorems for general rational Fourier series ⋮ Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity ⋮ Stieltjes-type polynomials on the unit circle ⋮ Some results about numerical quadrature on the unit circle ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference

Uses Software

• GQRAT

Cites Work

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• Gaussian Integration for Complex Weight Functions
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS
• Quadrature Formulas Based on Rational Interpolation
• Orthogonal Polynomials and Rational Modifications of Measures

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