Perturbation of nodes and poles in certain rational interpolants

Publisher: Cambridge University Press

E-ISSN: 1755-1633|36|2|177-185

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.36, Iss.2, 1987-10, pp. : 177-185

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Abstract

Recently, E.B. Saff and A. Sharma proved a result on Walsh's type equiconvergence for certain sequences of rational interpolants having uniformly distributed poles and nodes of interpolation. Here we examine the sensitivity of this result to a slight perturbation of the poles and nodes. Some problems related to our work are also formulated.