Matematičeskie zametki, Tome 9 (1971) no. 5, pp. 477-481
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V. I. Berdyshev. Best approximations in $L_[0,infty)$ of the differentiation operator. Matematičeskie zametki, Tome 9 (1971) no. 5, pp. 477-481. http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a0/
@article{MZM_1971_9_5_a0,
author = {V. I. Berdyshev},
title = {Best approximations in $L_[0,infty)$ of the differentiation operator},
journal = {Matemati\v{c}eskie zametki},
pages = {477--481},
year = {1971},
volume = {9},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a0/}
}
TY - JOUR
AU - V. I. Berdyshev
TI - Best approximations in $L_[0,infty)$ of the differentiation operator
JO - Matematičeskie zametki
PY - 1971
SP - 477
EP - 481
VL - 9
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a0/
LA - ru
ID - MZM_1971_9_5_a0
ER -
%0 Journal Article
%A V. I. Berdyshev
%T Best approximations in $L_[0,infty)$ of the differentiation operator
%J Matematičeskie zametki
%D 1971
%P 477-481
%V 9
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a0/
%G ru
%F MZM_1971_9_5_a0
A solution of Stechkin's problem concerning the approximation in $L_[0,infty)$ of the first-order differentiation operator in the class of functions of arbitrary bounded variation; the exact constant in the inequality $\|f'\|\leqslant K(\|f\|\bigvee\limits_0^\infty f')^{1/2}$ is found.
