@article{SM_1993_76_2_a1,
author = {V. V. Dubinin},
title = {Cubature formulas for classes of functions with bounded mixed difference},
journal = {Sbornik. Mathematics},
pages = {283--292},
year = {1993},
volume = {76},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1993_76_2_a1/}
}
V. V. Dubinin. Cubature formulas for classes of functions with bounded mixed difference. Sbornik. Mathematics, Tome 76 (1993) no. 2, pp. 283-292. http://geodesic.mathdoc.fr/item/SM_1993_76_2_a1/
[1] Dubinin V. V., “Ob optimalnykh kvadraturnykh formulakh dlya klassov funktsii s ogranichennoi smeshannoi raznostyu”, Matem. zametki, 49:1 (1991), 149–151 | MR | Zbl
[2] Bakhvalov N. S., “Ob optimalnykh otsenkakh skhodimosti kvadraturnykh protsessov i metodov integrirovaniya tipa Monte-Karlo na klassakh funktsii”, ZhSVM i MF, 4 (1964), 5–63 | MR | Zbl
[3] Bakhvalov N. S., “Otsenki asimptoticheskikh kharakteristik klassov funktsii s dominiruyuschei smeshannoi proizvodnoi”, Matem. zametki, 12:6 (1972), 655–664 | MR | Zbl
[4] Frolov K. K., Kvadraturnye formuly na klassakh funktsii, Dis. ... kand. fiz.-mat. nauk, VTs AN SSSR, M., 1979
[5] Bykovskii V. A., O pravilnom poryadke pogreshnosti optimalnykh kubaturnykh formul v prostranstvakh s dominiruyuschei proizvodnoi i kvadratichnykh otkloneniyakh setok, Preprint Dalnevostochnogo nauchnogo tsentra AN SSSR, 1985, s. 3–31 | MR | Zbl
[6] Temlyakov V. N., “Ob odnom prieme polucheniya otsenok snizu pogreshnostei kvadraturnykh formul”, Matem. sb., 181:10 (1990), 1403–1413 | MR | Zbl
[7] Temlyakov V. N., Priblizhenie funktsii s ogranichennoi smeshannoi proizvodnoi, Tr. MIAN, CLXXVIII, Nauka, M., 1986 | MR | Zbl
[8] Nikolskii S. M., “Neravenstva dlya tselykh funktsii konechnoi stepeni i ikh primenenie v teorii differentsiruemykh funktsii mnogikh peremennykh”, Tr. MIAN, 38, Izd-vo AN SSSR, M., 1951, 244–278 | MR | Zbl
[9] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977 | MR