Matematičeskie zametki, Tome 6 (1969) no. 1, pp. 35-46
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V. A. Abilov; S. A. Agahanov. Approximation of differentiable functions by Fourier–Hermite sums. Matematičeskie zametki, Tome 6 (1969) no. 1, pp. 35-46. http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a4/
@article{MZM_1969_6_1_a4,
author = {V. A. Abilov and S. A. Agahanov},
title = {Approximation of differentiable functions by {Fourier{\textendash}Hermite} sums},
journal = {Matemati\v{c}eskie zametki},
pages = {35--46},
year = {1969},
volume = {6},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a4/}
}
TY - JOUR
AU - V. A. Abilov
AU - S. A. Agahanov
TI - Approximation of differentiable functions by Fourier–Hermite sums
JO - Matematičeskie zametki
PY - 1969
SP - 35
EP - 46
VL - 6
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a4/
LA - ru
ID - MZM_1969_6_1_a4
ER -
%0 Journal Article
%A V. A. Abilov
%A S. A. Agahanov
%T Approximation of differentiable functions by Fourier–Hermite sums
%J Matematičeskie zametki
%D 1969
%P 35-46
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a4/
%G ru
%F MZM_1969_6_1_a4
An asymptotic formula is derived for the divergence of Fourier–Hermite sums from the functions giving rise to them, for functions $f(x)$ whose $r$-th derivatives have a modulus of continuity not exceeding a given majorizing modulus of continuity.
