Geodesic
Informativeness of Linear Functionals
Matematičeskie zametki, Tome 73 (2003) no. 6, pp. 803-812.

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

In this paper, we study the informativeness of linear functionals in reconstruction problems and obtain exact orders of the informativeness of linear functionals in the Besov and Sobolev classes $W$ and $SW$. 
@article{MZM_2003_73_6_a0,
     author = {Sh. Azhgaliev and N. Temirgaliev},
     title = {Informativeness of {Linear} {Functionals}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {803--812},
     publisher = {mathdoc},
     volume = {73},
     number = {6},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a0/}
}
TY  - JOUR
AU  - Sh. Azhgaliev
AU  - N. Temirgaliev
TI  - Informativeness of Linear Functionals
JO  - Matematičeskie zametki
PY  - 2003
SP  - 803
EP  - 812
VL  - 73
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a0/
LA  - ru
ID  - MZM_2003_73_6_a0
ER  - 
%0 Journal Article
%A Sh. Azhgaliev
%A N. Temirgaliev
%T Informativeness of Linear Functionals
%J Matematičeskie zametki
%D 2003
%P 803-812
%V 73
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a0/
%G ru
%F MZM_2003_73_6_a0
Sh. Azhgaliev; N. Temirgaliev. Informativeness of Linear Functionals. Matematičeskie zametki, Tome 73 (2003) no. 6, pp. 803-812. http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a0/

[1] Temirgaliev N., “Teoretiko-chislovye metody i teoretiko-veroyatnostnyi podkhod k zadacham analiza. Teoriya vlozhenii i priblizhenii, absolyutnaya skhodimost i preobrazovanie ryadov Fure”, Vestn. Evraziiskogo universiteta, 1997, no. 3, 90–144 | MR

[2] Korobov N. M., Teoretiko-chislovye metody v priblizhennom analize, Fizmatgiz, M., 1963

[3] Korobov N. M., Trigonometricheskie summy i ikh prilozheniya, Nauka, M., 1989 | Zbl

[4] Smolyak S. A., “Kvadraturnye i interpolyatsionnye formuly na tenzornykh proizvedeniyakh nekotorykh klassov funktsii”, Dokl. AN SSSR, 148:5 (1963), 1042–1045 | MR | Zbl

[5] Frolov K. K., “Otsenki sverkhu pogreshnosti kvadraturnykh formul na klassakh funktsii”, Dokl. AN SSSR, 231:4 (1976), 818–821 | MR | Zbl

[6] Hua Loo Keng, Wang Yang, Application of Number Theory to Numerical Analysis, Springer-Verlag, Berlin–Heidelberg–New York, 1981

[7] Temlyakov V. N., “Priblizhennoe vosstanovlenie funktsii mnogikh peremennykh”, Matem. sb., 128:2 (1985), 256–268 | MR | Zbl

[8] Skriganov M. M., “O reshetkakh v polyakh algebraicheskikh chisel”, Dokl. AN SSSR, 306:3 (1980), 353–355

[9] Voronin S. M., “Ob interpolyatsionnykh formulakh dlya klassa polinomov Fure”, Izv. RAN. Ser. matem., 61:4 (1997), 19–36 | MR

[10] Kudryavtsev S. N., “Nailuchshaya tochnost vosstanovleniya funktsii konechnoi gladkosti po ikh znacheniyam v zadannom chisle tochek”, Izv. RAN. Ser. matem., 62:1 (1998), 21–58 | MR | Zbl

[11] Temirgaliev N., “Primenenie teorii divizorov k priblizhennomu vosstanovleniyu i integrirovaniyu periodicheskikh funktsii mnogikh peremennykh”, Dokl. AN SSSR, 310:5 (1990), 1050–1054 | MR | Zbl

[12] Sherniyazov K., Priblizhennoe vosstanovlenie funktsii i reshenii uravneniya teploprovodnosti s funktsiyami raspredeleniya nachalnykh temperatur iz klassov $E$, $SW$ i $B$, Diss. $\dots$ kand. fiz.-matem. nauk, KazGU im. al-Farabi, Almaty, 1998

[13] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977 | Zbl

[14] Kurosh S. V., Kurs vysshei algebry, Nauka, M., 1978 | Zbl