Local and global error estimates for Berrut's rational interpolant at well-spaced nodes (Q1734618)
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scientific article; zbMATH DE number 7043340
| Language | Label | Description | Also known as |
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| English | Local and global error estimates for Berrut's rational interpolant at well-spaced nodes |
scientific article; zbMATH DE number 7043340 |
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Local and global error estimates for Berrut's rational interpolant at well-spaced nodes (English)
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27 March 2019
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The convergence-divergence properties of the Berrut rational interpolant [\textit{J. P. Berrut}, Comput. Math. Appl. 15, No. 1, 1--16 (1988; Zbl 0646.65006)] were studied in the case of equidistant nodes [\textit{G. Mastroianni} and \textit{J. Szabados}, ``Barycentric interpolation at equidistant nodes'', Jaen J. Approx. 9, 25--36 (2017)]. In this paper the author shows that results obtained in [loc. cit.] for the equidistant nodes hold more generally for the class of well-spaced nodes, with the restriction that the end points of the definition interval are nodes.
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barycentric interpolation
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modulus of continuity
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0.8346485495567322
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0.8279775381088257
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0.8117637038230896
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0.7793591618537903
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