Matematičeskie zametki, Tome 22 (1977) no. 3, pp. 357-370
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V. G. Doronin; A. A. Ligun. Best-possible one-sided approximations in the classes $W_\alpha^rV$ ($r>-1$) by trigonometric polynomials in the metric of $L_1$. Matematičeskie zametki, Tome 22 (1977) no. 3, pp. 357-370. http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a4/
@article{MZM_1977_22_3_a4,
author = {V. G. Doronin and A. A. Ligun},
title = {Best-possible one-sided approximations in the classes $W_\alpha^rV$ ($r>-1$) by trigonometric polynomials in the metric of $L_1$},
journal = {Matemati\v{c}eskie zametki},
pages = {357--370},
year = {1977},
volume = {22},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a4/}
}
TY - JOUR
AU - V. G. Doronin
AU - A. A. Ligun
TI - Best-possible one-sided approximations in the classes $W_\alpha^rV$ ($r>-1$) by trigonometric polynomials in the metric of $L_1$
JO - Matematičeskie zametki
PY - 1977
SP - 357
EP - 370
VL - 22
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a4/
LA - ru
ID - MZM_1977_22_3_a4
ER -
%0 Journal Article
%A V. G. Doronin
%A A. A. Ligun
%T Best-possible one-sided approximations in the classes $W_\alpha^rV$ ($r>-1$) by trigonometric polynomials in the metric of $L_1$
%J Matematičeskie zametki
%D 1977
%P 357-370
%V 22
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a4/
%G ru
%F MZM_1977_22_3_a4
The quantities $\sup\limits_{f\in W_\alpha^rV}\Hat{\Hat E}_n(f)_1$ ($r>-1$, $-\infty<\alpha<\infty$, $n=1,2\dots)$ are calculated, where $\Hat{\Hat E}_n(f)_1$ is the best approximation from above of the function $f$ by trigonometric polynomials of order $\le n-1$ in the metric of $L_1$.
