Geodesic
$K$-functionals and exact values of $n$-widths of some classes in $L_2$
Matematičeskie zametki, Tome 66 (1999) no. 4, pp. 494-499 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{MZM_1999_66_4_a1,
     author = {S. B. Vakarchuk},
     title = {$K$-functionals and exact values of $n$-widths of some classes in~$L_2$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {494--499},
     year = {1999},
     volume = {66},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1999_66_4_a1/}
}
TY  - JOUR
AU  - S. B. Vakarchuk
TI  - $K$-functionals and exact values of $n$-widths of some classes in $L_2$
JO  - Matematičeskie zametki
PY  - 1999
SP  - 494
EP  - 499
VL  - 66
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MZM_1999_66_4_a1/
LA  - ru
ID  - MZM_1999_66_4_a1
ER  - 
%0 Journal Article
%A S. B. Vakarchuk
%T $K$-functionals and exact values of $n$-widths of some classes in $L_2$
%J Matematičeskie zametki
%D 1999
%P 494-499
%V 66
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1999_66_4_a1/
%G ru
%F MZM_1999_66_4_a1
S. B. Vakarchuk. $K$-functionals and exact values of $n$-widths of some classes in $L_2$. Matematičeskie zametki, Tome 66 (1999) no. 4, pp. 494-499. http://geodesic.mathdoc.fr/item/MZM_1999_66_4_a1/

[1] Kolmogorov A. N., “Über die beste Annäherung von Funktionen einer gegeben Funktionklassen”, Ann. of Math., 37 (1936), 107–111 | DOI | MR

[2] Tikhomirov V. M., Nekotorye voprosy teorii priblizhenii, MGU, M., 1976

[3] Taikov L. V., “Strukturnye i konstruktivnye kharakteristiki funktsii iz $L_2$”, Matem. zametki, 25:2 (1979), 217–223 | MR

[4] Taikov L. V., “Neravenstva, soderzhaschie nailuchshie priblizheniya i modul nepreryvnosti funktsii iz $L_2$”, Matem. zametki, 20:3 (1976), 433–438 | MR | Zbl

[5] Ainulloev N., “Nailuchshee priblizhenie nekotorykh klassov differentsiruemykh funktsii v $L_2$”, Primenenie funktsionalnogo analiza v teorii priblizhenii, Kalinin, 1986, 3–10 | MR

[6] Pinkus A., $n$-Widths in Approximation Theory, Springer, Berlin, 1985

[7] Berg I., Lefstrem I., Interpolyatsionnye prostranstva, Vvedenie, Mir, M., 1980

[8] Schumaker L. L., Spline Functions. Basic Theory, Wiley, New York, 1981 | Zbl