Best approximation of the differentiation operator on the class of functions analytic in a~strip
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 9-16
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On the class of functions analytic in a strip, we study a number of related extremal problems for the differentiation operator: the best approximation of the operator, computation of its modulus of continuity, and optimal recovery of the operator from boundary values of a function given with error on a straight line.
Keywords:
approximation of operators, optimal recovery, analytic functions.
@article{TIMM_2014_20_1_a1,
author = {R. R. Akopyan},
title = {Best approximation of the differentiation operator on the class of functions analytic in a~strip},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {9--16},
publisher = {mathdoc},
volume = {20},
number = {1},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2014_20_1_a1/}
}
TY - JOUR AU - R. R. Akopyan TI - Best approximation of the differentiation operator on the class of functions analytic in a~strip JO - Trudy Instituta matematiki i mehaniki PY - 2014 SP - 9 EP - 16 VL - 20 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2014_20_1_a1/ LA - ru ID - TIMM_2014_20_1_a1 ER -
R. R. Akopyan. Best approximation of the differentiation operator on the class of functions analytic in a~strip. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 9-16. http://geodesic.mathdoc.fr/item/TIMM_2014_20_1_a1/