Matematičeskie zametki, Tome 7 (1970) no. 1, pp. 63-68
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A. N. Kochetkov. Extremal problems for bounded analytic functions with supplementary conditions. Matematičeskie zametki, Tome 7 (1970) no. 1, pp. 63-68. http://geodesic.mathdoc.fr/item/MZM_1970_7_1_a6/
@article{MZM_1970_7_1_a6,
author = {A. N. Kochetkov},
title = {Extremal problems for bounded analytic functions with supplementary conditions},
journal = {Matemati\v{c}eskie zametki},
pages = {63--68},
year = {1970},
volume = {7},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_1_a6/}
}
TY - JOUR
AU - A. N. Kochetkov
TI - Extremal problems for bounded analytic functions with supplementary conditions
JO - Matematičeskie zametki
PY - 1970
SP - 63
EP - 68
VL - 7
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_1_a6/
LA - ru
ID - MZM_1970_7_1_a6
ER -
%0 Journal Article
%A A. N. Kochetkov
%T Extremal problems for bounded analytic functions with supplementary conditions
%J Matematičeskie zametki
%D 1970
%P 63-68
%V 7
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_1_a6/
%G ru
%F MZM_1970_7_1_a6
The general form of the analytic function bounded in the unit disk which maximizes the functional $$ \biggl|\sum_{j=1}^R\sum_{i=0}^{n_j}c_{ij}f^{(i)}(\tau_j)\biggr| $$ is determined. Limitations are imposed on the function in the interior of the disk.
