Matematičeskie zametki, Tome 9 (1971) no. 2, pp. 105-112
Citer cet article
V. V. Arestov; V. N. Gabushin. Approximation of classes of differentiable functions. Matematičeskie zametki, Tome 9 (1971) no. 2, pp. 105-112. http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a0/
@article{MZM_1971_9_2_a0,
author = {V. V. Arestov and V. N. Gabushin},
title = {Approximation of classes of differentiable functions},
journal = {Matemati\v{c}eskie zametki},
pages = {105--112},
year = {1971},
volume = {9},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a0/}
}
TY - JOUR
AU - V. V. Arestov
AU - V. N. Gabushin
TI - Approximation of classes of differentiable functions
JO - Matematičeskie zametki
PY - 1971
SP - 105
EP - 112
VL - 9
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a0/
LA - ru
ID - MZM_1971_9_2_a0
ER -
%0 Journal Article
%A V. V. Arestov
%A V. N. Gabushin
%T Approximation of classes of differentiable functions
%J Matematičeskie zametki
%D 1971
%P 105-112
%V 9
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a0/
%G ru
%F MZM_1971_9_2_a0
Conditions are derived under which $$ F=\sup_{||f^{(k)}||_{L_p(S)}\leqslant1}\,\inf_{||\varphi^{(l)}||_{L_r(S)}\leqslant n}||f-\varphi||_{L_p(S)} $$ is finite or infinite. The value of $F$ is calculated for certain special cases.
