Bos, Len De Marchi, Stefano Hormann, Kai Klein, Georges 2011-12-18 Recent results reveal that the family of barycentric rational interpolants introduced by Floater and Hormann is very well-suited for the approximation of functions as well as their derivatives, integrals and primitives. Especially in the case of equidistant interpolation nodes, these infinitely smooth interpolants offer a much better choice than their polynomial analogue. A natural and important question concerns the condition of this rational approximation method. In this paper we extend a recent study of the Lebesgue function and constant associated with Berrut’s rational interpolant at equidistant nodes to the family of Floater–Hormann interpolants, which includes the former as a special case. application/pdf https://folia.unifr.ch/global/documents/302284 https://folia.unifr.ch/documents/302284/files/kle_lcb.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s00211-011-0442-8 info:eu-repo/semantics/openAccess License undefined Numerische Mathematik. - 2012, vol. 121, p. 461–471 Barycentric rational interpolation Lebesgue function Condition info:eu-repo/classification/udc/51 On the Lebesgue constant of barycentric rational interpolation at equidistant nodes http://purl.org/coar/resource_type/c_6501