Two-Side Estimates for Sums of Absolute Values of Fourier Coefficients of Functions from Hω(Tm) with the Use of Partial Moduli of Smoothness / D'yachenko D.M. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 1. P. 3-9 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 1-7].
Two-side estimates of sums of absolute values of Fourier coefficients for functions of many variables from the classes Hω(Tm) are established in the paper with the help of partial moduli of smoothness.
Key words: Fourier coefficients, partial moduli of smootness, Nikol'skii class.