Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 455-469
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M. K. Potapov; B. V. Simonov. On estimates for the modules of the smoothness of the functions with transformed Fourier series. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 455-469. http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a7/
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author = {M. K. Potapov and B. V. Simonov},
title = {On estimates for the modules of the smoothness of the functions with transformed {Fourier} series},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {455--469},
year = {1995},
volume = {1},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a7/}
}
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AU - M. K. Potapov
AU - B. V. Simonov
TI - On estimates for the modules of the smoothness of the functions with transformed Fourier series
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1995
SP - 455
EP - 469
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IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a7/
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ID - FPM_1995_1_2_a7
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%A M. K. Potapov
%A B. V. Simonov
%T On estimates for the modules of the smoothness of the functions with transformed Fourier series
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1995
%P 455-469
%V 1
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a7/
%G ru
%F FPM_1995_1_2_a7
In this article the functions are considered which have generalized derivative in Weyl's sense. The lower and upper estimates for the modules of smoothness of these derivatives are expressed in terms of the modules of smoothness of the function itself.
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