@article{SM_1992_72_1_a5,
author = {M. Babayev},
title = {On the degree of approximation of the {Sobolev} class~$W_q^r$ by bilinear forms in~$L_p$ for $1\leqslant q\leqslant p\leqslant 2$},
journal = {Sbornik. Mathematics},
pages = {113--120},
year = {1992},
volume = {72},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1992_72_1_a5/}
}
TY - JOUR AU - M. Babayev TI - On the degree of approximation of the Sobolev class $W_q^r$ by bilinear forms in $L_p$ for $1\leqslant q\leqslant p\leqslant 2$ JO - Sbornik. Mathematics PY - 1992 SP - 113 EP - 120 VL - 72 IS - 1 UR - http://geodesic.mathdoc.fr/item/SM_1992_72_1_a5/ LA - en ID - SM_1992_72_1_a5 ER -
M. Babayev. On the degree of approximation of the Sobolev class $W_q^r$ by bilinear forms in $L_p$ for $1\leqslant q\leqslant p\leqslant 2$. Sbornik. Mathematics, Tome 72 (1992) no. 1, pp. 113-120. http://geodesic.mathdoc.fr/item/SM_1992_72_1_a5/
[1] Schmidt E., “Zur theorie der linearen and nictlinearen Integralgleichungen, I”, J. Math. Ann., 63 (1907), 433–476 | DOI | MR | Zbl
[2] Temlyakov V. N., “O nailuchshikh bilineinykh priblizheniyakh periodicheskikh funktsii mnogikh peremennykh”, DAN SSSR, 286:2 (1986), 301–304 | MR | Zbl
[3] Temlyakov V. N., “Priblizhenie funktsii s ogranichennoi smeshannoi proizvodnoi”, Tr. MIAN, 178, 1986, 3–113 | MR | Zbl
[4] Babaev M.-B. A., “Priblizhenie Sobolevskikh klassov funktsii summami proizvedenii funktsii menshego chisla peremennykh”, Tr. MIAN, 180 (1987), 30–32
[5] Babaev M.-B. A., “Priblizhenie Sobolevskikh klassov funktsii summami proizvedenii funktsii menshego chisla peremennykh i kvazipoperechniki”, Dokl. AN AzerbSSR, 1986, no. 3, 3–5 | Zbl
[6] Shura-Bura M. R., “Approksimatsiya funktsii mnogikh peremennykh funktsiyami, kazhdaya iz kotorykh zavisit ot odnogo peremennogo”, Vychisl. matem., 2 (1957), 3–19 | Zbl
[7] Micchelli C. A., Pinkus A., “Some Problems in the approximations of two variables and $n$-widths of integral operators”, J. Approx. Theory, 24 (1978), 51–77 | DOI | MR | Zbl
[8] Miroshin N. V., Khromov V. V., “Ob odnoi zadache nailuchshei approksimatsii funktsii mnogikh peremennykh”, Matem. zametki, 32 (1982), 721–727 | MR | Zbl
[9] Tikhomirov V. M., Nekotorye voprosy teorii priblizhenii, MGU, M., 1976 | MR
[10] Maiorov V. E., “Diskretizatsiya zadachi o poperechnikakh”, UMN, 30:6 (186) (1975), 179–180 | MR | Zbl
[11] Temlyakov V. N., “Priblizhenie periodicheskikh funktsii mnogikh peremennykh kombinatsiyami funktsii, zavisyaschikh ot menshego chisla peremennykh”, Tr. MIAN, 173 (1986), 243–252 | MR
[12] Birman M. Sh., Solomyak M. Z., “Kusochno-polinomialnye priblizheniya funktsii klassov $W_p^0$”, Matem. sb., 73(115) (1967), 331–335 | MR
[13] Nikolskii S. M., “O teoremakh vlozheniya, prodolzheniya i priblizheniya”, UMN, 16:5(101) (1961), 63–114 | MR
[14] Temlyakov V. N., “Bilineinaya approksimatsiya i prilozheniya”, Tr. MIAN, 187, 1989, 191–215 | MR | Zbl