Construction of a single-step optimal stochastic algorithm for approximating a Lipschitz function
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 5, pp. 652-662
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The problem of approximating a function satisfying a Lipschitz condition in the interval $[a,b]$ is considered. A single-step optimal stochastic algorithm for selecting the data points is constructed.
@article{ZVMMF_1990_30_5_a1,
author = {M. A. Kokorev},
title = {Construction of a single-step optimal stochastic algorithm for approximating {a~Lipschitz} function},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {652--662},
publisher = {mathdoc},
volume = {30},
number = {5},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a1/}
}
TY - JOUR AU - M. A. Kokorev TI - Construction of a single-step optimal stochastic algorithm for approximating a Lipschitz function JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 652 EP - 662 VL - 30 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a1/ LA - ru ID - ZVMMF_1990_30_5_a1 ER -
%0 Journal Article %A M. A. Kokorev %T Construction of a single-step optimal stochastic algorithm for approximating a Lipschitz function %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1990 %P 652-662 %V 30 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a1/ %G ru %F ZVMMF_1990_30_5_a1
M. A. Kokorev. Construction of a single-step optimal stochastic algorithm for approximating a Lipschitz function. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 5, pp. 652-662. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a1/