Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 21-28
Citer cet article
A. I. Koryakin. Estimation of a function from randomized observations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 21-28. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a2/
@article{ZVMMF_1983_23_1_a2,
author = {A. I. Koryakin},
title = {Estimation of a function from randomized observations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {21--28},
year = {1983},
volume = {23},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a2/}
}
TY - JOUR
AU - A. I. Koryakin
TI - Estimation of a function from randomized observations
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 21
EP - 28
VL - 23
IS - 1
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a2/
LA - ru
ID - ZVMMF_1983_23_1_a2
ER -
%0 Journal Article
%A A. I. Koryakin
%T Estimation of a function from randomized observations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 21-28
%V 23
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a2/
%G ru
%F ZVMMF_1983_23_1_a2
The projection estimation of an unknown function from observations obtained at random nodes is considered. An estimate with optimal order of decrease of the error is proved for functions belonging to Sobolev classes. The computational advantages of this estimate are discussed. The influence of random errors of the observations is taken into account.
