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Trigonometric Series with Coefficients General Monotone with Respect to Subsequences

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Abstract

In this paper, we consider the functions, which are represented as trigonometric series with Fourier coefficients general monotone with respect to subsequences. For these functions, estimates of the norms and modules of smoothness are given.

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REFERENCES

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Authors and Affiliations

  1. Volgograd State Technical University, 28 Lenin ave., 400005, Volgograd, Russia

    I. E. Simonova & B. V. Simonov

Authors
  1. I. E. Simonova
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  2. B. V. Simonov
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Correspondence to I. E. Simonova or B. V. Simonov.

Additional information

Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 1, pp. 11–30.

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Simonova, I.E., Simonov, B.V. Trigonometric Series with Coefficients General Monotone with Respect to Subsequences. Russ Math. 65, 8–26 (2021). https://doi.org/10.3103/S1066369X21010023

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  • DOI: https://doi.org/10.3103/S1066369X21010023

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