Geodesic
On rational approximation of analytic functions
Sbornik. Mathematics, Tome 19 (1973) no. 1, pp. 157-163 
P. G. Boyadzhiev. On rational approximation of analytic functions. Sbornik. Mathematics, Tome 19 (1973) no. 1, pp. 157-163. http://geodesic.mathdoc.fr/item/SM_1973_19_1_a10/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $E$ be a regular compact set, and $D$ an arbitrary domain containing $E$. A constructive characterization is given of the class of functions analytic in $D$, using best approximation on $E$ by rational functions with a specially chosen sequence of poles. Bibliography: 4 titles.

[1] T. Bagby, “On interpolation by rational functions”, Duke Math. J., 36:1 (1969), 95–104 | DOI | MR | Zbl

[2] A. L. Levin, V. M. Tikhomirov, “Ob odnoi teoreme Erokhina”, Uspekhi matem. nauk, XXIII:1 (139) (1968), 119–132

[3] Dzh. L. Uolsh, Interpolyatsiya i approksimatsiya ratsionalnymi funktsiyami v kompleksnoi oblasti, IL, Moskva, 1961 | MR

[4] Y. C. Shen, “On interpolation and appoximation by rational functions with preassigned poles”, J. Chinese. Math. Soc., 1 (1936), 154–173 | Zbl