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

Author:

Deng Chongyang,Zhang Shankui,Li Yajuan,Jin Wenbiao,Zhao Yi

Funder

NSFC

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference7 articles.

1. On the Lebesgue constant of Berrut’s rational interpolant at equidistant nodes;Bos;J. Comput. Appl. Math.,2011

2. Rational functions for guaranteed and experimentally well-conditioned global interpolation;Berrut;Comput. Math. Appl.,1988

3. Lebesgue constant minimizing linear rational interpolation of continuous functions over the interval;Berrut;J. Comput. Appl. Math.,1997

4. Barycentric rational interpolation at quasi-equidistant nodes;Hormann;Dolomites Res. Notes Approx.,2012

5. An improved upper bound on the Lebesgue constant of Berrut’s rational interpolation operator;Zhang;J. Comput. Appl. Math.,2014

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1. A Convergent Family of Bivariate Floater-Hormann Rational Interpolants;Computational Methods and Function Theory;2020-07-18

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