Geodesic
Some remarks on approximation of functions of several variables
Sbornik. Mathematics, Tome 15 (1971) no. 4, pp. 493-511 
K. I. Babenko. Some remarks on approximation of functions of several variables. Sbornik. Mathematics, Tome 15 (1971) no. 4, pp. 493-511. http://geodesic.mathdoc.fr/item/SM_1971_15_4_a0/
@article{SM_1971_15_4_a0,
     author = {K. I. Babenko},
     title = {Some remarks on approximation of functions of several variables},
     journal = {Sbornik. Mathematics},
     pages = {493--511},
     year = {1971},
     volume = {15},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1971_15_4_a0/}
}
TY  - JOUR
AU  - K. I. Babenko
TI  - Some remarks on approximation of functions of several variables
JO  - Sbornik. Mathematics
PY  - 1971
SP  - 493
EP  - 511
VL  - 15
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/SM_1971_15_4_a0/
LA  - en
ID  - SM_1971_15_4_a0
ER  - 
%0 Journal Article
%A K. I. Babenko
%T Some remarks on approximation of functions of several variables
%J Sbornik. Mathematics
%D 1971
%P 493-511
%V 15
%N 4
%U http://geodesic.mathdoc.fr/item/SM_1971_15_4_a0/
%G en
%F SM_1971_15_4_a0

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

The work is devoted to questions of approximation of smooth functions of $n$ variables. Bibliography: 11 titles.

[1] P. S. Aleksandrov, “Über die Urysohnschen Konstanten”, Fundam. Math., 20 (1933), 140–150 | Zbl

[2] A. H. Kolmogorov, “Über beste Annäherung von Funktionen einer gegebenen Funktionalklasse”, Ann. Math., 37 (1936), 107–111 | DOI | MR

[3] S. B. Stechkin, “O nailuchshem priblizhenii zadannykh klassov funktsii lyubymi polinomami”, Uspekhi matem. nauk, V:1(53) (1954), 133–134

[4] V. M. Tikhomirov, “Poperechniki mnozhestv v funktsionalnykh prostranstvakh i teoriya nailuchshikh priblizhenii”, Uspekhi matem. nauk, XV:3(93) (1960), 81–120 | MR | Zbl

[5] R. L. Frum-Ketkov, “O metricheskom poperechnike funktsionalnykh prostranstv”, Uspekhi matem. nauk, XX:4(124) (1965), 176–180 | MR

[6] S. N. Bernshtein, “O predelnykh zavisimostyakh mezhdu konstantami teorii nailuchshego priblizheniya”, Sobr. soch., t. II, AN SSSR, 1954

[7] S. N. Bernshtein, “O nailuchshem priblizhenii nepreryvnykh funktsii na vsei veschestvennoi osi pri pomoschi tselykh funktsii dannoi stepeni. I–V”, Sobr. soch., t. II, AN SSSR, 1964, 371–375

[8] S. M. Nikolskii, “O priblizhenii funktsii, udovletvoryayuschikh usloviyu Lipshitsa”, DAN SSSR, 52:1 (1946), 7–10

[9] R. L. Frum-Ketkov, “O nekotorykh svoistvakh prostranstv funktsii konechnoi gladkosti”, Uspekhi matem. nauk, XX:4(124) (1965), 181–186 | MR

[10] A. N. Kolmogorov, V. M. Tikhomirov, “$\varepsilon$-entropiya i $\varepsilon$-emkost mnozhestv v funktsionalnykh prostranstvakh”, Uspekhi matem. nauk, XIII:2(86) (1959), 3–86 | MR

[11] A. G. Vitushkin, “K trinadtsatoi probleme Gilberta”, DAN SSSR, 95:4 (1955), 701–704