Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 807-816
Citer cet article
A. A. Zhensykbaev. The approximation of periodic differentiable functions by splines with respect to a uniform partition. Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 807-816. http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a2/
@article{MZM_1973_13_6_a2,
author = {A. A. Zhensykbaev},
title = {The approximation of periodic differentiable functions by splines with respect to a~uniform partition},
journal = {Matemati\v{c}eskie zametki},
pages = {807--816},
year = {1973},
volume = {13},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a2/}
}
TY - JOUR
AU - A. A. Zhensykbaev
TI - The approximation of periodic differentiable functions by splines with respect to a uniform partition
JO - Matematičeskie zametki
PY - 1973
SP - 807
EP - 816
VL - 13
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a2/
LA - ru
ID - MZM_1973_13_6_a2
ER -
%0 Journal Article
%A A. A. Zhensykbaev
%T The approximation of periodic differentiable functions by splines with respect to a uniform partition
%J Matematičeskie zametki
%D 1973
%P 807-816
%V 13
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a2/
%G ru
%F MZM_1973_13_6_a2
We solve the problem of determining exact estimates for the approximation by $r$-th order splines of the class $W^{r+1}$ in the metrics $C$ and $L_p$ ($1\le p<\infty$).
