Geodesic
Estimates of the Fourier Widths of Classes of Nikolskii--Besov and Lizorkin--Triebel Types of Periodic Functions of Several Variables
Matematičeskie zametki, Tome 87 (2010) no. 2, pp. 305-308.

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

Keywords: periodic function of several variables, function class of Nikolskii–Besov type, function class of Lizorkin–Triebel type, Fourier width, Sobolev space. 
@article{MZM_2010_87_2_a12,
     author = {D. B. Bazarkhanov},
     title = {Estimates of the {Fourier} {Widths} of {Classes} of {Nikolskii--Besov} and {Lizorkin--Triebel} {Types} of {Periodic} {Functions} of {Several} {Variables}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {305--308},
     publisher = {mathdoc},
     volume = {87},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a12/}
}
TY  - JOUR
AU  - D. B. Bazarkhanov
TI  - Estimates of the Fourier Widths of Classes of Nikolskii--Besov and Lizorkin--Triebel Types of Periodic Functions of Several Variables
JO  - Matematičeskie zametki
PY  - 2010
SP  - 305
EP  - 308
VL  - 87
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a12/
LA  - ru
ID  - MZM_2010_87_2_a12
ER  - 
%0 Journal Article
%A D. B. Bazarkhanov
%T Estimates of the Fourier Widths of Classes of Nikolskii--Besov and Lizorkin--Triebel Types of Periodic Functions of Several Variables
%J Matematičeskie zametki
%D 2010
%P 305-308
%V 87
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a12/
%G ru
%F MZM_2010_87_2_a12
D. B. Bazarkhanov. Estimates of the Fourier Widths of Classes of Nikolskii--Besov and Lizorkin--Triebel Types of Periodic Functions of Several Variables. Matematičeskie zametki, Tome 87 (2010) no. 2, pp. 305-308. http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a12/

[1] V. N. Temlyakov, Dokl. AN SSSR, 267:2 (1982), 314–317 | MR

[2] V. N. Temlyakov, Priblizhenie funktsii s ogranichennoi smeshannoi proizvodnoi, Tr. MIAN SSSR, 178, ed. S. M. Nikolskii, 1986, 113 pp. | MR | Zbl

[3] V. N. Temlyakov, Approximation of Periodic Functions, Comput. Math. Anal. Ser., Nova Sci. Publ., Commack, NY, 1993 | MR | Zbl

[4] V. N. Temlyakov, Sbornik trudov Vsesoyuznoi shkoly po teorii funktsii (Dushanbe, avgust 1986 g.), Tr. MIAN SSSR, 189, Nauka, M., 1989, 138–168 | MR | Zbl

[5] E. M. Galeev, Matem. zametki, 47:3 (1990), 32–41 | MR | Zbl

[6] A. V. Andrianov, V. N. Temlyakov, Teoriya priblizhenii. Garmonicheskii analiz, Sbornik statei, posvyaschennyi pamyati professora Sergeya Borisovicha Stechkina, Tr. MIAN, 219, Nauka, M., 1997, 32–43 | MR | Zbl

[7] A. S. Romanyuk, Matem. sb., 199:2 (2008), 93–114 | MR | Zbl

[8] H.-J. Schmeisser, H. Triebel, Topics in Fourier Analysis and Function Spaces, Wiley-Intersci. Publ., John Wiley Sons, Chichester, 1987 | MR | Zbl

[9] D. B. Bazarkhanov, Funktsionalnye prostranstva, priblizheniya, differentsialnye uravneniya, Sbornik statei. K 70-letiyu so dnya rozhdeniya chlena-korrespondenta RAN Olega Vladimirovicha Besova, Tr. MIAN, 243, Nauka, M., 2003, 53–65 | MR | Zbl

[10] D. B. Bazarkhanov, Dokl. RAN, 402:3 (2005), 298–302 | MR

[11] A. S. Romanyuk, Ukr. matem. zhurn., 53:9 (2001), 1224–1231 | MR | Zbl

[12] A. S. Romanyuk, Ukr. matem. zhurn., 53:10 (2001), 1402–1408 | MR | Zbl