Matematičeskie zametki, Tome 19 (1976) no. 5, pp. 699-706
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V. E. Maiorov. The best approximation of classes $W_1^r(I^s)$ in the space $L_\infty(I^s)$. Matematičeskie zametki, Tome 19 (1976) no. 5, pp. 699-706. http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a4/
@article{MZM_1976_19_5_a4,
author = {V. E. Maiorov},
title = {The best approximation of classes $W_1^r(I^s)$ in the space $L_\infty(I^s)$},
journal = {Matemati\v{c}eskie zametki},
pages = {699--706},
year = {1976},
volume = {19},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a4/}
}
TY - JOUR
AU - V. E. Maiorov
TI - The best approximation of classes $W_1^r(I^s)$ in the space $L_\infty(I^s)$
JO - Matematičeskie zametki
PY - 1976
SP - 699
EP - 706
VL - 19
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a4/
LA - ru
ID - MZM_1976_19_5_a4
ER -
%0 Journal Article
%A V. E. Maiorov
%T The best approximation of classes $W_1^r(I^s)$ in the space $L_\infty(I^s)$
%J Matematičeskie zametki
%D 1976
%P 699-706
%V 19
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a4/
%G ru
%F MZM_1976_19_5_a4
A method is proposed which enables us to obtain the best upper bounds for the $n$-diameters of multidmensional Sobolev classes $W_1^r(I^s)$ in the metric of $L_\infty(I^s)$.