@article{IVM_2005_3_a1,
author = {G. A. Akishev},
title = {On orders of approximation of function classes by polynomials in the generalized {Haar} system},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {13--22},
year = {2005},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2005_3_a1/}
}
G. A. Akishev. On orders of approximation of function classes by polynomials in the generalized Haar system. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2005), pp. 13-22. http://geodesic.mathdoc.fr/item/IVM_2005_3_a1/
[1] Krein S.G., Petunin Yu.I., Semenov E.M., Interpolyatsi lineinykh operatorov, Nauka, M., 1978, 400 pp. | MR
[2] Vilenkin N.Ya., “Ob odnom klasse polnykh ortonormirovannykh sistem”, Izv. AN SSSR. Ser. matem., 11 (1947), 363–400 | MR
[3] Golubov B.I., “Ob odnom klasse polnykh ortogonalnykh sistem”, Sib. matem. zhurn., 9 (1968), 297–314 | MR | Zbl
[4] Andrianov A.V., “Priblizhenie funktsii iz klassov $MH_{q}^{r}$ polinomami Khaara”, Matem. zametki, 66 (1999), 323–335 | MR | Zbl
[5] Kashin B.S., “O nizhnikh otsenkakh dlya $n$-chlennykh priblizhenii”, Matem. zametki, 70 (2001), 636–638 | MR | Zbl
[6] Temlyakov V.N., “Nonlinear $m$-term approximation with regard to the multivariate Haar system”, East J. Approx., 4 (1998), 87–106 | MR | Zbl
[7] Osvald P., “Ob $N$-chlennykh priblizheniyakh po sisteme Khaara v $H^{s}$-normakh”, Metrich. teoriya funk. i smezhnye vopr. anal., M., 1999, 137–163 | MR
[8] Lapin S.V., Nekotorye teoremy vlozheniya dlya proizvedenii funktsii, Dep. v VINITI, 1980, No 1036-80, 31 pp.
[9] Temlyakov V.N., Priblizhenie funktsii s ogranichennoi smeshannoi proizvodnoi, Tr. MIAN, 178, 1986, 113 pp. | MR | Zbl
[10] Borisova E.A., O vlozhenii klassov funktsii, zadannykh posledovatelnostyami nailuchshikh priblizhenii po sistemam tipa Khaara, Dep. v VINITI, 1986, No 6333-86, 52 pp.
[11] Akishev G.A., Kospanova R.K., Teoremy vlozheniya v simmetrichnye prostranstva i obobschennaya sistema Khaara, Dep. v KazNIINTI, 1991, No 3618, 50 pp.