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Estimates with Sharp Constants of the Sums of Sine Series with Monotone Coefficients of Certain Classes in Terms of the Salem Majorant

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Abstract

New estimates of the sums of sine series with monotone coefficients of special classes in terms of the Salem majorant are obtained. The asymptotic sharpness of the obtained estimates for sequences of coefficients from the classes under consideration is proved.

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References

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Authors and Affiliations

  1. LomonosovMoscow State University, Moscow, 119991, Russia

    A. Yu. Popov & A. P. Solodov

Authors
  1. A. Yu. Popov
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  2. A. P. Solodov
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Correspondence to A. P. Solodov.

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Original Russian Text © A. Yu. Popov, A. P. Solodov, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 5, pp. 725–736.

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Popov, A.Y., Solodov, A.P. Estimates with Sharp Constants of the Sums of Sine Series with Monotone Coefficients of Certain Classes in Terms of the Salem Majorant. Math Notes 104, 702–711 (2018). https://doi.org/10.1134/S0001434618110111

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  • DOI: https://doi.org/10.1134/S0001434618110111

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