Geodesic
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

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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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     title = {On estimates for the modules of the smoothness of the functions with transformed {Fourier} series},
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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/