@article{ZVMMF_1998_38_1_a3,
author = {I. V. Boykov},
title = {Approximation of some classes of functions by local splines},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {25--33},
year = {1998},
volume = {38},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_1_a3/}
}
I. V. Boykov. Approximation of some classes of functions by local splines. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 1, pp. 25-33. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_1_a3/
[1] K. I. Babenko (red.), Teoreticheskie osnovy i konstruirovanie chislennykh algoritmov resheniya zadach matematicheskoi fiziki, Nauka, M., 1979
[2] Kolmogoroff A., “Über die beste Annaherung von Funktionen einer gegebenen Funktionen klasse”, Ann. Math., 37 (1936), 107–117 | DOI | MR
[3] Stechkin S. B., “O nailuchshem priblizhenii zadannykh klassov funktsii lyubymi polinomami”, Uspekhi matem. nauk, 9:1 (1954), 133–134 | Zbl
[4] Tikhomirov V. M., “Poperechniki mnozhestv v funktsionalnykh prostranstvakh i teoriya priblizhenii”, Uspekhi matem. nauk, 15:13 (1960), 81–120 | MR | Zbl
[5] Tikhomirov V. M., Nekotorye voprosy teorii priblizhenii, Nauka, M., 1975 | Zbl
[6] Makovoz Yu. I., “Ob odnom prieme otsenki snizu poperechnikov mnozhestv v banakhovom prostranstve”, Matem. sb., 87:1 (1972), 136–142 | MR | Zbl
[7] Ismagilov R. S., “Poperechniki mnozhestv v lineinykh normirovannykh prostranstvakh i priblizhenie funktsii trigonometricheskimi polinomami”, Uspekhi matem. nauk, 79:1 (1974), 161–178 | MR
[8] Ismagilov R. S., “Poperechniki kompaktov v lineinykh normirovannykh prostranstvakh”, Geometriya lineinykh prostranstv i teoriya operatorov, YarGU, Yaroslavl, 1977, 75–113 | MR | Zbl
[9] Gluskin E. D., “Ob odnoi zadache o poperechnikakh”, Dokl. AN SSSR, 219:13 (1974), 527–530 | MR | Zbl
[10] Kashin B. C., “Poperechniki nekotorykh konechnomernykh mnozhestv i klassov gladkikh funktsii”, Izv. AN SSSR. Ser. matem., 41:1 (1977), 334–351 | Zbl
[11] Maiorov V. E., “Diskretizatsiya zadachi o poperechnikakh”, Uspekhi matem. nauk, 30:6 (1975), 179–180 | MR | Zbl
[12] Temlyakov V. N., Priblizhenie funktsii s ogranichennoi smeshannoi proizvodnoi, Nauka, M., 1986
[13] Babenko K. I., “Neskolko zamechanii o priblizhenii funktsii mnogikh peremennykh”, Matem. sb., 86:4 (1971), 179–180 | MR
[14] Babenko K. I., “O nekotorykh zadachakh teorii priblizhenii i chislennogo analiza”, Uspekhi matem. nauk, 40:1 (1985), 3–28 | MR