Matematičeskie zametki, Tome 7 (1970) no. 4, pp. 423-430
Citer cet article
Yu. N. Subbotin. Linear method for the approximation of differentiable functions. Matematičeskie zametki, Tome 7 (1970) no. 4, pp. 423-430. http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a6/
@article{MZM_1970_7_4_a6,
author = {Yu. N. Subbotin},
title = {Linear method for the approximation of differentiable functions},
journal = {Matemati\v{c}eskie zametki},
pages = {423--430},
year = {1970},
volume = {7},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a6/}
}
TY - JOUR
AU - Yu. N. Subbotin
TI - Linear method for the approximation of differentiable functions
JO - Matematičeskie zametki
PY - 1970
SP - 423
EP - 430
VL - 7
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a6/
LA - ru
ID - MZM_1970_7_4_a6
ER -
%0 Journal Article
%A Yu. N. Subbotin
%T Linear method for the approximation of differentiable functions
%J Matematičeskie zametki
%D 1970
%P 423-430
%V 7
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a6/
%G ru
%F MZM_1970_7_4_a6
This article is devoted to the problem of the approximation of functions in the metric of space $L_p(0, 1)$, the $s$-th derivative of the functions being continuous and the $(s+1)$-th derivative belonging to the space $L_q(0, 1)$, with $p,q\geqslant1$, by spline functions of order $s$ with fixed “almost” uniform nodes.
