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On the Lebesgue constant of barycentric rational Hermite interpolants at equidistant nodes

Cirillo, Emiliano ; Hormann, Kai

In: Journal of computational and applied mathematics, 2019, vol. 349, p. 292-301

Barycentric rational Floater–Hormann interpolants compare favourably to classical polynomial interpolants in the case of equidistant nodes, because the Lebesgue constant associated with these interpolants grows logarithmically in this setting, in contrast to the exponential growth experienced by polynomials. In the Hermite setting, in which also the first derivatives of the interpolant are...