Equiconvergence in rational approximation of meromorphic functions
Generalizing the Walsh theorem, E. B. Saff, A. Sharma, and R. S. Varga showed that there is a close relation between the rational interpolants in roots of unity and Padé approximants of certain meromorphic functions. The purpose of this paper is to extend this result, replacing the Padé approximant with other rational functions so as to obtain a larger region of equiconvergence.
AMS classification41A05 41A20 41A21
Key words and phrasesEquiconvergence Padé approximation Rational approximation Meromorphic functions
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