Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 201-210
Citer cet article
L. I. Bausov. The order of approximation to functions of the $Z_\alpha$. Class by means of positive linear operators. Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 201-210. http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a11/
@article{MZM_1968_4_2_a11,
author = {L. I. Bausov},
title = {The order of approximation to functions of the $Z_\alpha$. {Class} by means of positive linear operators},
journal = {Matemati\v{c}eskie zametki},
pages = {201--210},
year = {1968},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a11/}
}
TY - JOUR
AU - L. I. Bausov
TI - The order of approximation to functions of the $Z_\alpha$. Class by means of positive linear operators
JO - Matematičeskie zametki
PY - 1968
SP - 201
EP - 210
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a11/
LA - ru
ID - MZM_1968_4_2_a11
ER -
%0 Journal Article
%A L. I. Bausov
%T The order of approximation to functions of the $Z_\alpha$. Class by means of positive linear operators
%J Matematičeskie zametki
%D 1968
%P 201-210
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a11/
%G ru
%F MZM_1968_4_2_a11
Let $C_n(\varphi,\alpha)$ be the upper bound for deviations of periodic functions which form the Zygmund class $Z_\alpha$, $0<\alpha<2$ from a class of positive linear operators. A study is made of the conditions under which there exists a limit $\lim\limits_{n\to\infty}n^\alpha C_n(\varphi,\alpha)$. An explicit expression is given for the functions $C(\varphi,\alpha)$.
