Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 217-228
Citer cet article
A. A. Zhensykbaev. Exact bounds for the uniform approximation of continuous periodic functions by $r$-th order splines. Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 217-228. http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a5/
@article{MZM_1973_13_2_a5,
author = {A. A. Zhensykbaev},
title = {Exact bounds for the uniform approximation of continuous periodic functions by $r$-th order splines},
journal = {Matemati\v{c}eskie zametki},
pages = {217--228},
year = {1973},
volume = {13},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a5/}
}
TY - JOUR
AU - A. A. Zhensykbaev
TI - Exact bounds for the uniform approximation of continuous periodic functions by $r$-th order splines
JO - Matematičeskie zametki
PY - 1973
SP - 217
EP - 228
VL - 13
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a5/
LA - ru
ID - MZM_1973_13_2_a5
ER -
%0 Journal Article
%A A. A. Zhensykbaev
%T Exact bounds for the uniform approximation of continuous periodic functions by $r$-th order splines
%J Matematičeskie zametki
%D 1973
%P 217-228
%V 13
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a5/
%G ru
%F MZM_1973_13_2_a5
We solve the problem of determining exact bounds for the uniform approximation of continuous periodic functions by $r$-th order interpolation splines in a space $C$ and on a class $H_\omega$ specified by the convex modulus of continuity $\omega(t)$.
