Geodesic
Transformation of Fourier series using power and weakly oscillating sequences
Matematičeskie zametki, Tome 77 (2005) no. 1, pp. 99-116 
M. K. Potapov; B. V. Simonov; S. Yu. Tikhonov. Transformation of Fourier series using power and weakly oscillating sequences. Matematičeskie zametki, Tome 77 (2005) no. 1, pp. 99-116. http://geodesic.mathdoc.fr/item/MZM_2005_77_1_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the present paper, we consider transformations of the Fourier series of functions of several variables by means of the products of power and weakly oscillating sequences. Estimates of the mixed moduli of smoothness of the transformed Fourier series are obtained via the mixed moduli of smoothness of the functions under consideration.

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