Approximation of differentiable functions by Fourier--Hermite sums
Matematičeskie zametki, Tome 6 (1969) no. 1, pp. 35-46
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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.
@article{MZM_1969_6_1_a4,
author = {V. A. Abilov and S. A. Agahanov},
title = {Approximation of differentiable functions by {Fourier--Hermite} sums},
journal = {Matemati\v{c}eskie zametki},
pages = {35--46},
publisher = {mathdoc},
volume = {6},
number = {1},
year = {1969},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a4/}
}
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/