Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 58-61
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B. V. Simonov. Some properties of transformed Fourier series. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 58-61. http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a12/
@article{VMUMM_1983_2_a12,
author = {B. V. Simonov},
title = {Some properties of transformed {Fourier} series},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {58--61},
year = {1983},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a12/}
}
TY - JOUR
AU - B. V. Simonov
TI - Some properties of transformed Fourier series
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1983
SP - 58
EP - 61
IS - 2
UR - http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a12/
LA - ru
ID - VMUMM_1983_2_a12
ER -
%0 Journal Article
%A B. V. Simonov
%T Some properties of transformed Fourier series
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 58-61
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a12/
%G ru
%F VMUMM_1983_2_a12
We find some conditions under which the transformed Fourier series of a function $f(x)\in L_p$ is a Fourier series of a suitable function $\varphi(x)\in L_p$. We also find some estimates of the module of smoothness of the fractional order for the function $\varphi(x)$. We study the precision of these estimates.
