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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

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Abstract

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.

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Authors and Affiliations

  1. Rosbank Management Company, Mashi Poryvaevoi st. 7, Moscow, 107078, Russia

    D. M. D’yachenko

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  1. D. M. D’yachenko
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Original Russian Text © D.M. D’yachenko, 2011, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2011, Vol. 66, No. 1, pp. 3–9.

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D’yachenko, D.M. 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. Moscow Univ. Math. Bull. 66, 1–7 (2011). https://doi.org/10.3103/S0027132211010013

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  • DOI: https://doi.org/10.3103/S0027132211010013

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