Geodesic
Approximation of analytic functions by polynomials with integer coefficients
Matematičeskie zametki, Tome 59 (1996) no. 2, pp. 182-188.

Voir la notice de l'article provenant de la source Math-Net.Ru

For some classes of analytic functions we estimate the rate of approximation by polynomials with integer coefficients. 
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V. V. Volchkov. Approximation of analytic functions by polynomials with integer coefficients. Matematičeskie zametki, Tome 59 (1996) no. 2, pp. 182-188. http://geodesic.mathdoc.fr/item/MZM_1996_59_2_a3/

[1] Mergelyan S. N., “O predstavlenii funktsii ryadami polinomov na zamknutykh mnozhestvakh”, Dokl. AN SSSR, 78:3 (1951), 405–408 | MR

[2] Alper S. Ya., “O priblizhenii funktsii mnogochlenami s tselymi koeffitsientami na zamknutykh mnozhestvakh”, Izv. AN SSSR. Ser. matem., 28:5 (1964), 1173–1186 | MR | Zbl

[3] Dzyadyk V. K., Vvedenie v teoriyu ravnomernogo priblizheniya funktsii polinomami, Nauka, M., 1977 | Zbl

[4] Gaier D., Lektsii po teorii approksimatsii v kompleksnoi oblasti, Mir, M., 1986 | Zbl

[5] Belyi V. I., “Konformnye otobrazheniya i priblizhenie analiticheskikh funktsii v oblastyakh s kvazikonformnoi granitsei”, Matem. sb., 102:3 (1977), 331–361 | MR | Zbl

[6] Trigub R. M., “Priblizhenie funktsii mnogochlenami s tselymi koeffitsientami”, Izv. AN SSSR. Ser. matem., 26:2 (1962), 261–280 | MR | Zbl

[7] Ferguson O., Approximation by polynomials with integral coefficients, Amer. Math. Soc., Providence, R.I., 1980 | Zbl

[8] Gopengauz I. E., “K voprosu o priblizhenii funktsii na otrezke i v oblasti s uglami”, Teoriya funktsii, funkts. analiz i ikh prilozh., no. 4, Kharkov, 1967, 204–210 | MR | Zbl