Matematičeskie zametki, Tome 3 (1968) no. 2, pp. 157-164
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Yu. N. Subbotin; L. V. Taikov. Best approximation of a differentiation operator in $L_2$-space. Matematičeskie zametki, Tome 3 (1968) no. 2, pp. 157-164. http://geodesic.mathdoc.fr/item/MZM_1968_3_2_a4/
@article{MZM_1968_3_2_a4,
author = {Yu. N. Subbotin and L. V. Taikov},
title = {Best approximation of a~differentiation operator in $L_2$-space},
journal = {Matemati\v{c}eskie zametki},
pages = {157--164},
year = {1968},
volume = {3},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_2_a4/}
}
TY - JOUR
AU - Yu. N. Subbotin
AU - L. V. Taikov
TI - Best approximation of a differentiation operator in $L_2$-space
JO - Matematičeskie zametki
PY - 1968
SP - 157
EP - 164
VL - 3
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1968_3_2_a4/
LA - ru
ID - MZM_1968_3_2_a4
ER -
%0 Journal Article
%A Yu. N. Subbotin
%A L. V. Taikov
%T Best approximation of a differentiation operator in $L_2$-space
%J Matematičeskie zametki
%D 1968
%P 157-164
%V 3
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1968_3_2_a4/
%G ru
%F MZM_1968_3_2_a4
This paper contains the magnitude of the best approximation in the $L_2$-sense of a $k$-th order differentiation operator of a bounded linear operator $A(f)$ which acts on the class of functions which are differentiable $n$ times.
