Two-side estimates for sums of absolute values of Fourier coefficients of functions from $H^\omega(T^m)$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 3-9

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Two-side estimates of sums of absolute values of Fourier coefficients for functions of many variables from the classes $H^\omega(T^m)$ are established in the paper with the help of partial moduli of smootness.
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     title = {Two-side estimates for sums of absolute values of {Fourier} coefficients of functions from $H^\omega(T^m)$},
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D. M. D'yachenko. Two-side estimates for sums of absolute values of Fourier coefficients of functions from $H^\omega(T^m)$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 3-9. http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a0/