Best approximation for the analytic continuation operator on the class of analytic functions in a~ring
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 4, pp. 3-13
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For classes of functions analytic in a ring (a disk), we study several extremal problems related to the analytic continuation operator: the best approximation of an operator, an optimal reconstruction of an operator from boundary values of a function on the circle given with an error, and the best approximation of one class of functions by another class.
Keywords:
approximation of operators, analytic functions.
@article{TIMM_2012_18_4_a0,
author = {R. R. Akopyan},
title = {Best approximation for the analytic continuation operator on the class of analytic functions in a~ring},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {3--13},
publisher = {mathdoc},
volume = {18},
number = {4},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2012_18_4_a0/}
}
TY - JOUR AU - R. R. Akopyan TI - Best approximation for the analytic continuation operator on the class of analytic functions in a~ring JO - Trudy Instituta matematiki i mehaniki PY - 2012 SP - 3 EP - 13 VL - 18 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2012_18_4_a0/ LA - ru ID - TIMM_2012_18_4_a0 ER -
%0 Journal Article %A R. R. Akopyan %T Best approximation for the analytic continuation operator on the class of analytic functions in a~ring %J Trudy Instituta matematiki i mehaniki %D 2012 %P 3-13 %V 18 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2012_18_4_a0/ %G ru %F TIMM_2012_18_4_a0
R. R. Akopyan. Best approximation for the analytic continuation operator on the class of analytic functions in a~ring. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 4, pp. 3-13. http://geodesic.mathdoc.fr/item/TIMM_2012_18_4_a0/