Matematičeskie zametki, Tome 9 (1971) no. 5, pp. 501-510
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Yu. N. Subbotin. A relation between spline approximation and the problem of the approximation of one class by another. Matematičeskie zametki, Tome 9 (1971) no. 5, pp. 501-510. http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a3/
@article{MZM_1971_9_5_a3,
author = {Yu. N. Subbotin},
title = {A~relation between spline approximation and the problem of the approximation of one class by another},
journal = {Matemati\v{c}eskie zametki},
pages = {501--510},
year = {1971},
volume = {9},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a3/}
}
TY - JOUR
AU - Yu. N. Subbotin
TI - A relation between spline approximation and the problem of the approximation of one class by another
JO - Matematičeskie zametki
PY - 1971
SP - 501
EP - 510
VL - 9
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a3/
LA - ru
ID - MZM_1971_9_5_a3
ER -
%0 Journal Article
%A Yu. N. Subbotin
%T A relation between spline approximation and the problem of the approximation of one class by another
%J Matematičeskie zametki
%D 1971
%P 501-510
%V 9
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a3/
%G ru
%F MZM_1971_9_5_a3
An investigation of the approximation in $L_q(-\infty,\,\infty)$ of differentiable functions whose $k$-th derivatives belong to $L_p(-\infty,\,\infty)$, by splines $S_m(x)$ with nonfixed nodes, under the extra assumption that the norms in $L_s(-\infty,\infty)$ of their $l$-th derivatives have a common bound. A relation is established with the problem of approximating functions of one class by functions of another class.
