Matematičeskie zametki, Tome 17 (1975) no. 3, pp. 359-368
Citer cet article
A. G. Marchuk; K. Yu. Osipenko. Best approximation of functions specified with an error at a finite number of points. Matematičeskie zametki, Tome 17 (1975) no. 3, pp. 359-368. http://geodesic.mathdoc.fr/item/MZM_1975_17_3_a1/
@article{MZM_1975_17_3_a1,
author = {A. G. Marchuk and K. Yu. Osipenko},
title = {Best approximation of functions specified with an~error at a~finite number of points},
journal = {Matemati\v{c}eskie zametki},
pages = {359--368},
year = {1975},
volume = {17},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_3_a1/}
}
TY - JOUR
AU - A. G. Marchuk
AU - K. Yu. Osipenko
TI - Best approximation of functions specified with an error at a finite number of points
JO - Matematičeskie zametki
PY - 1975
SP - 359
EP - 368
VL - 17
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1975_17_3_a1/
LA - ru
ID - MZM_1975_17_3_a1
ER -
%0 Journal Article
%A A. G. Marchuk
%A K. Yu. Osipenko
%T Best approximation of functions specified with an error at a finite number of points
%J Matematičeskie zametki
%D 1975
%P 359-368
%V 17
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_3_a1/
%G ru
%F MZM_1975_17_3_a1
It is proved that for convex and centrally symmetric classes of functions a linear method is included among the best (in a definite sense) methods of approximation from values specified with an error at a finite number of points. For some of the simplest classes linear best methods are constructed and their error is estimated.
