Note on the Convergence of Sequences of Rational Functions of Best Approximation to a Meromorphic Function
AUTOR(ES)
Walsh, Joseph L.
RESUMO
If the function f(z) is meromorphic at every finite point of the plane, analytic on C: [unk]z[unk] ≤ 1, there are results that can be established concerning the convergence of the sequence Rn(z) of rational functions of each degree n of best approximation to f(z) on C. However, we need to assume certain additional conditions on the convergence of the sequence Rn(z) itself. The results generalize to more general sets C and to more general functions.
ACESSO AO ARTIGO
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=389684Documentos Relacionados
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