An improved upper bound on the Lebesgue constant of Berrut's rational interpolation operator

DOI10.1016/j.cam.2013.06.030zbMath1316.41005OpenAlexW1989783621MaRDI QIDQ2252736

Ren-Jiang Zhang

Publication date: 23 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2013.06.030

zbMATH Keywords

rational interpolationequidistant nodesLebesgue constant

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (6)

A tighter upper bound on the Lebesgue constant of Berrut's rational interpolant at equidistant nodes ⋮ Rational interpolation operator with finite Lebesgue constant ⋮ Barycentric Interpolation ⋮ Optimal asymptotic Lebesgue constant of Berrut's rational interpolation operator for equidistant nodes ⋮ Lebesgue constant using sinc points ⋮ Recent advances in linear barycentric rational interpolation

Cites Work

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• On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes
• Rational functions for guaranteed and experimentally well-conditioned global interpolation
• Two results on polynomial interpolation in equally spaced points
• Lebesgue constant minimizing linear rational interpolation of continuous functions over the interval
• Weighted interpolation for equidistant nodes
• Barycentric rational interpolation with no poles and high rates of approximation
• A Rational Interpolation Scheme with Superpolynomial Rate of Convergence
• A Quicker Convergence to Euler's Constant
• Exponential convergence of a linear rational interpolant between transformed Chebyshev points
• Barycentric Lagrange Interpolation

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