Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 465-476
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K. Yu. Osipenko. Optimal interpolation of analytic functions. Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 465-476. http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a13/
@article{MZM_1972_12_4_a13,
author = {K. Yu. Osipenko},
title = {Optimal interpolation of analytic functions},
journal = {Matemati\v{c}eskie zametki},
pages = {465--476},
year = {1972},
volume = {12},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a13/}
}
TY - JOUR
AU - K. Yu. Osipenko
TI - Optimal interpolation of analytic functions
JO - Matematičeskie zametki
PY - 1972
SP - 465
EP - 476
VL - 12
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a13/
LA - ru
ID - MZM_1972_12_4_a13
ER -
We construct an optimal interpolation formula for a particular class of analytic functions, optimization being over a set of interpolation methods which are not necessarily linear. Optimal nodes and the norm of the error are found for the optimal interpolation formula.