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Exact lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant

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Abstract

An unimprovable lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant is obtained.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, 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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Corresponding author

Correspondence to A. Yu. Popov.

Additional information

Original Russian Text © A.Yu. Popov, A.P. Solodov, 2014, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2014, Vol. 69, No. 4, pp. 51–55.

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Popov, A.Y., Solodov, A.P. Exact lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant. Moscow Univ. Math. Bull. 69, 169–173 (2014). https://doi.org/10.3103/S0027132214040056

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  • DOI: https://doi.org/10.3103/S0027132214040056

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