Geodesic
On the exact estimations of the best $M$--terms approximation of the Besov class
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 255-274

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

The anisotropic Lebesgue space of periodic functions is considered in this paper. The exact estimate of the $M$-term of approximation function O. V. Besov's classes in the space Lebesgue with anisotropic metric is obtained in the paper.
Mots-clés : Lebesgue space, Besov's classes
Keywords: anisotropic metric. 
@article{SEMR_2010_7_a18,
     author = {G. A. Akishev},
     title = {On the exact estimations of the best $M$--terms approximation of the {Besov} class},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {255--274},
     publisher = {mathdoc},
     volume = {7},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2010_7_a18/}
}
TY  - JOUR
AU  - G. A. Akishev
TI  - On the exact estimations of the best $M$--terms approximation of the Besov class
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2010
SP  - 255
EP  - 274
VL  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2010_7_a18/
LA  - ru
ID  - SEMR_2010_7_a18
ER  - 
%0 Journal Article
%A G. A. Akishev
%T On the exact estimations of the best $M$--terms approximation of the Besov class
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2010
%P 255-274
%V 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2010_7_a18/
%G ru
%F SEMR_2010_7_a18
G. A. Akishev. On the exact estimations of the best $M$--terms approximation of the Besov class. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 255-274. http://geodesic.mathdoc.fr/item/SEMR_2010_7_a18/