On barycentric interpolation. I. (On the T-Lebesgue function and T-Lebesgue constant)

Vértesi, Péter (2015) On barycentric interpolation. I. (On the T-Lebesgue function and T-Lebesgue constant). ACTA MATHEMATICA HUNGARICA, 147 (2). pp. 396-407. ISSN 0236-5294

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Abstract

We prove theorems on the Lebesgue function and Lebesgue constant of barycentric Lagrange interpolation based on arbitrary node-sytem in [-1, 1]. It turns out that the results are very similar to the ones known for the classical Lagrange interpolation. © 2015, Akadémiai Kiadó, Budapest, Hungary.

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