Matematičeskie zametki, Tome 12 (1972) no. 1, pp. 43-51
Citer cet article
Yu. N. Subbotin. Approximation by splines and smooth bases in $C(0, 2\pi)$. Matematičeskie zametki, Tome 12 (1972) no. 1, pp. 43-51. http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a5/
@article{MZM_1972_12_1_a5,
author = {Yu. N. Subbotin},
title = {Approximation by splines and smooth bases in $C(0, 2\pi)$},
journal = {Matemati\v{c}eskie zametki},
pages = {43--51},
year = {1972},
volume = {12},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a5/}
}
TY - JOUR
AU - Yu. N. Subbotin
TI - Approximation by splines and smooth bases in $C(0, 2\pi)$
JO - Matematičeskie zametki
PY - 1972
SP - 43
EP - 51
VL - 12
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a5/
LA - ru
ID - MZM_1972_12_1_a5
ER -
%0 Journal Article
%A Yu. N. Subbotin
%T Approximation by splines and smooth bases in $C(0, 2\pi)$
%J Matematičeskie zametki
%D 1972
%P 43-51
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a5/
%G ru
%F MZM_1972_12_1_a5
An estimate of the deviation of the splines interpolating on a uniform net a function continuous on the whole axis by means of the $k^{\mathrm{th}}$ module of continuity. These results are applied for the construction of smooth bases in $C(0, 2\pi)$.
