Summary
Letf be meromorphic in ℂ. We show that there exists a sequence of distinct interpolation points {z j } ∞j=1 , and forn≧1, rational functions,R n (z) of type (n, n) solving the Newton-Padé (Hermite) interpolation problem,
and such that for each compact subsetK of ℂ omitting poles off, we have
Extensions are presented to the case wheref(z) is meromorphic in a given open set with certain additional properties, and related results are discussed.
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Deccember 26, 1988 to May 31, 1989: Department of Mathematics, University of South Florida, Tampa, PL, 33620, USA.
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Lubinsky, D.S. On uniform convergence of rational, Newton-Padé interpolants of type (n, n) with free poles asn→∞. Numer. Math. 55, 247–264 (1989). https://doi.org/10.1007/BF01390053
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DOI: https://doi.org/10.1007/BF01390053