Abstract
Recently, the convergence–divergence properties of the Berrut rational interpolant (Berrut, 1988) were studied in the case of equidistant nodes (Mastroianni and Szabados, 2017).A very general class called “well-spaced nodes” was introduced in Bos et al. (2013), a class which includes essentially any distribution of nodes that satisfies a particular regularity condition, such as equidistant nodes, Chebyshev nodes as well as extended Chebyshev nodes.In this paper we show that results obtained in Mastroianni and Szabados, (2017) 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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