Matematičeskie zametki, Tome 11 (1972) no. 2, pp. 215-226
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V. L. Velikin. Approximation by cubic splines in the classes of continuously differentiable functions. Matematičeskie zametki, Tome 11 (1972) no. 2, pp. 215-226. http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a11/
@article{MZM_1972_11_2_a11,
author = {V. L. Velikin},
title = {Approximation by cubic splines in the classes of continuously differentiable functions},
journal = {Matemati\v{c}eskie zametki},
pages = {215--226},
year = {1972},
volume = {11},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a11/}
}
TY - JOUR
AU - V. L. Velikin
TI - Approximation by cubic splines in the classes of continuously differentiable functions
JO - Matematičeskie zametki
PY - 1972
SP - 215
EP - 226
VL - 11
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a11/
LA - ru
ID - MZM_1972_11_2_a11
ER -
%0 Journal Article
%A V. L. Velikin
%T Approximation by cubic splines in the classes of continuously differentiable functions
%J Matematičeskie zametki
%D 1972
%P 215-226
%V 11
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a11/
%G ru
%F MZM_1972_11_2_a11
The problem of approximating continuously differentiable periodic functions $f(x)$ by cubic interpolation splines $s_n(f;x)$ with equidistant nodes is considered. Asymptotically exact estimates for $||f(x)-s_n(f;x)||_C$ are obtained in the classes of functions $W^1H_\omega$.
