Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 14-19
Voir la notice de l'article provenant de la source Math-Net.Ru
We study the problem of optimal recovery of a function analytic in a doubly connected domain from its approximately given values on one of the two components of the boundary. An optimal recovery method is obtained in the case when the error is an integer power of the modulus of the domain.
Keywords:
optimal recovery, analytic functions, doubly connected domain.
@article{TIMM_2015_21_4_a1,
author = {R. R. Akopian},
title = {Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {14--19},
publisher = {mathdoc},
volume = {21},
number = {4},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a1/}
}
TY - JOUR AU - R. R. Akopian TI - Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values JO - Trudy Instituta matematiki i mehaniki PY - 2015 SP - 14 EP - 19 VL - 21 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a1/ LA - ru ID - TIMM_2015_21_4_a1 ER -
%0 Journal Article %A R. R. Akopian %T Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values %J Trudy Instituta matematiki i mehaniki %D 2015 %P 14-19 %V 21 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a1/ %G ru %F TIMM_2015_21_4_a1
R. R. Akopian. Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 14-19. http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a1/