Abstract
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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Translated from Matematicheskie Zametki, vol. 77, no. 1, 2005, pp. 99–116.
Original Russian Text Copyright © 2005 by M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov.
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Potapov, M.K., Simonov, B.V. & Tikhonov, S.Y. Transformation of fourier series using power and weakly oscillating sequences. Math Notes 77, 90–107 (2005). https://doi.org/10.1007/s11006-005-0009-z
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DOI: https://doi.org/10.1007/s11006-005-0009-z