Geodesic
Some new criteria for uniform approximability of functions by rational fractions
Sbornik. Mathematics, Tome 186 (1995) no. 9, pp. 1325-1340

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In this paper Vitushkin's localization scheme for uniform rational approximation of functions is further improved. Using this result new criteria for the approximability of functions by rational fractions in the uniform and Holder metrics on compact subsets of $\mathbb C$ are obtained. 
@article{SM_1995_186_9_a5,
     author = {P. V. Paramonov},
     title = {Some new criteria for uniform approximability of functions by rational fractions},
     journal = {Sbornik. Mathematics},
     pages = {1325--1340},
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     volume = {186},
     number = {9},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_9_a5/}
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P. V. Paramonov. Some new criteria for uniform approximability of functions by rational fractions. Sbornik. Mathematics, Tome 186 (1995) no. 9, pp. 1325-1340. http://geodesic.mathdoc.fr/item/SM_1995_186_9_a5/