Matematičeskie zametki, Tome 15 (1974) no. 6, pp. 955-966
Citer cet article
A. A. Zhensykbaev. Approximation of certain classes of differentiable periodic functions by interpolational splines in a uniform decomposition. Matematičeskie zametki, Tome 15 (1974) no. 6, pp. 955-966. http://geodesic.mathdoc.fr/item/MZM_1974_15_6_a14/
@article{MZM_1974_15_6_a14,
author = {A. A. Zhensykbaev},
title = {Approximation of certain classes of differentiable periodic functions by interpolational splines in a~uniform decomposition},
journal = {Matemati\v{c}eskie zametki},
pages = {955--966},
year = {1974},
volume = {15},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_6_a14/}
}
TY - JOUR
AU - A. A. Zhensykbaev
TI - Approximation of certain classes of differentiable periodic functions by interpolational splines in a uniform decomposition
JO - Matematičeskie zametki
PY - 1974
SP - 955
EP - 966
VL - 15
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_6_a14/
LA - ru
ID - MZM_1974_15_6_a14
ER -
%0 Journal Article
%A A. A. Zhensykbaev
%T Approximation of certain classes of differentiable periodic functions by interpolational splines in a uniform decomposition
%J Matematičeskie zametki
%D 1974
%P 955-966
%V 15
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_6_a14/
%G ru
%F MZM_1974_15_6_a14
In this paper we obtain upper and lower bounds of a uniform approximation by interpolational splines of order $r$ in a uniform decomposition on the classes of functions $W^rH_\omega$ and $W_L^{r+2}$ and on the whole space $C^r$.
