Calculation of associated functions for rational modified weight functions

DOI10.1007/BF02576178zbMath0874.42019OpenAlexW1976718962MaRDI QIDQ1343623

Michael-Ralf Skrzipek

Publication date: 2 November 1997

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02576178

zbMATH Keywords

orthogonal polynomialsHilbert transformsGaussian quadrature rulesrational modified weight functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

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• Calculation of Gauss quadratures with multiple free and fixed knots
• Orthogonal polynomials for modified weight functions
• Error Bounds for Gaussian Quadrature of Analytic Functions
• On Generating Orthogonal Polynomials
• Computational Aspects of Three-Term Recurrence Relations
• A Unified Approach to Quadrature Rules with Asymptotic Estimates of Their Remainders