Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

Two-Side Estimates for Sums of Absolute Values of Fourier Coefficients of Functions from H^ω(T^m) 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 H^ω(T^m) are established in the paper with the help of partial moduli of smoothness.

Key words: Fourier coefficients, partial moduli of smootness, Nikol'skii class.

№ 1/2011

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