An Extension of the Floater–Hormann Family of Barycentric Rational Interpolants

DOI10.1090/S0025-5718-2013-02688-9zbMath1275.65009MaRDI QIDQ5326510

Georges Klein

Publication date: 6 August 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

convergencerational interpolationderivativeintegralLebesgue functionantiderivativebarycentric formFloater-Hormann interpolation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Numerical quadrature and cubature formulas (65D32) Numerical differentiation (65D25) Antidifferentiation (26A36)

Related Items (11)

Accurate function sinc interpolation and derivative estimations over finite intervals ⋮ On the numerical stability of Floater-Hormann's rational interpolant ⋮ A generalization of Floater-Hormann interpolants ⋮ AAA interpolation of equispaced data ⋮ On the constrained mock-Chebyshev least-squares ⋮ Eliminating the unbounded behavior of function derivative expansions in terms of sinc bases ⋮ Lebesgue constant using sinc points ⋮ The stability of extended Floater-Hormann interpolants ⋮ Recent advances in linear barycentric rational interpolation ⋮ Statistical application of barycentric rational interpolants: an alternative to splines ⋮ Extended barycentric rational schemes for functions of singularities

Uses Software

• Chebfun

Cites Work

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• Barycentric Lagrange Interpolation
• A Practical Guide to Pseudospectral Methods
• The linear rational collocation method

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