Lagrange interpolation and quadrature formula in rational systems

DOI10.1006/jath.1997.3214zbMath0912.41003OpenAlexW2051905963MaRDI QIDQ1268718

K. Appert

Publication date: 18 May 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1997.3214

zbMATH Keywords

Lagrange interpolationquadrature formularational system

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Interpolation in approximation theory (41A05) Numerical quadrature and cubature formulas (65D32)

Related Items

Orthogonal rational functions and tridiagonal matrices ⋮ Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles ⋮ Quadrature and orthogonal rational functions ⋮ The use of rational functions in numerical quadrature ⋮ Quadrature formula of singular integral based on rational interpolation ⋮ Rational interpolation and open-up mappings ⋮ Error bounds for rational quadrature formulae of analytic functions

Uses Software

• GQRAT

Cites Work

• Zeros of Chebyshev polynomials in Markov systems
• Interlacing properties of the zeros of the error functions in best \(L^p\)- approximations
• Dense Markov spaces and unbounded Bernstein inequalities
• On the computation of generalized Fermi-Dirac and Bose-Einstein integrals
• On the Distribution of Extremal Points of General Chebyshev Polynomials
• Quadrature Formulas Based on Rational Interpolation
• Chebyshev Polynomials and Markov-Bernstein Type Inequalities for Rational Spaces
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