Optimal asymptotic Lebesgue constant of Berrut’s rational interpolation operator for equidistant nodes

Ren-Jiang Zhang

Applied Mathematics and Computation, 2017, vol. 294, issue C, 139-145

Abstract: In approximation theory, the Lebesgue constant of an interpolation operator plays an important role. The Lebesgue constant of Berrut’s interpolation operator has been extensive studied. In the present work, by introducing a new method, we obtain an optimal asymptotic Lebesgue constant of Berrut’s rational interpolant at equidistant nodes.

Keywords: Rational interpolation; Lebesgue constant; Equidistant nodes; Approximation bound (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:294:y:2017:i:c:p:139-145

DOI: 10.1016/j.amc.2016.09.003

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