Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms, Tome 80 (1978), pp. 30-47
Citer cet article
V. P. Il'in. Approximation of functions from $B^\ell_{p,\theta}(G)$ by anisotropic averages. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms, Tome 80 (1978), pp. 30-47. http://geodesic.mathdoc.fr/item/ZNSL_1978_80_a1/
@article{ZNSL_1978_80_a1,
author = {V. P. Il'in},
title = {Approximation of functions from $B^\ell_{p,\theta}(G)$ by anisotropic averages},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {30--47},
year = {1978},
volume = {80},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_80_a1/}
}
TY - JOUR
AU - V. P. Il'in
TI - Approximation of functions from $B^\ell_{p,\theta}(G)$ by anisotropic averages
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1978
SP - 30
EP - 47
VL - 80
UR - http://geodesic.mathdoc.fr/item/ZNSL_1978_80_a1/
LA - ru
ID - ZNSL_1978_80_a1
ER -
%0 Journal Article
%A V. P. Il'in
%T Approximation of functions from $B^\ell_{p,\theta}(G)$ by anisotropic averages
%J Zapiski Nauchnykh Seminarov POMI
%D 1978
%P 30-47
%V 80
%U http://geodesic.mathdoc.fr/item/ZNSL_1978_80_a1/
%G ru
%F ZNSL_1978_80_a1
The article considers the approximation of functions from O. V. Besov's class $B^\ell_{p,\theta}(G)$ by anisotropic average functions. Proofs are given of the approximation theorem, the inverse theorem of approximation theory, and the saturation theorem associated with the choice of the averaging kernel.
