A tighter upper bound on the Lebesgue constant of Berrut's rational interpolant at equidistant nodes

DOI10.1016/j.aml.2016.03.007zbMath1342.41003OpenAlexW2298086218MaRDI QIDQ285092

Shankui Zhang, Wenbiao Jin, Chongyang Deng, Yi Zhao, Ya-Juan Li

Publication date: 18 May 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.03.007

zbMATH Keywords

rational interpolationequidistant nodesLebesgue constant

Mathematics Subject Classification ID

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

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Cites Work

• On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes
• Rational functions for guaranteed and experimentally well-conditioned global interpolation
• Lebesgue constant minimizing linear rational interpolation of continuous functions over the interval
• An improved upper bound on the Lebesgue constant of Berrut's rational interpolation operator
• Barycentric rational interpolation with no poles and high rates of approximation