Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 185-192
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V. M. Veselinov. Weighted approximations by means of entire functions of exponential type. Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 185-192. http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a0/
@article{MZM_1974_16_2_a0,
author = {V. M. Veselinov},
title = {Weighted approximations by means of entire functions of exponential type},
journal = {Matemati\v{c}eskie zametki},
pages = {185--192},
year = {1974},
volume = {16},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a0/}
}
TY - JOUR
AU - V. M. Veselinov
TI - Weighted approximations by means of entire functions of exponential type
JO - Matematičeskie zametki
PY - 1974
SP - 185
EP - 192
VL - 16
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a0/
LA - ru
ID - MZM_1974_16_2_a0
ER -
%0 Journal Article
%A V. M. Veselinov
%T Weighted approximations by means of entire functions of exponential type
%J Matematičeskie zametki
%D 1974
%P 185-192
%V 16
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a0/
%G ru
%F MZM_1974_16_2_a0
We study the approximation of continuous real functions $f(x)=O((1+|x|)^\alpha)(|x|\to\infty$, $\sigma\ge0)$ by means of entire functions of exponential type in some metric of Hausdorff type. We generalize a theorem due to N. I. Akhiezer concerning uniform weighted approximations.
