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Distribution functions and trigonometric series with monotonically decreasing coefficients

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Abstract

The order of the distribution function of the sum of a cosine series with monotonically decreasing coefficients is determined. Theorems concerning integrability and convergence are proved for certain integral classes.

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Authors and Affiliations

  1. A. M. Razmadze Mathematics Institute, Academy of Sciences of the Georgian SSR, USSR

    A. B. Gulisashvili

Authors
  1. A. B. Gulisashvili
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Additional information

Translated from Matematicheskie Zametki, Vol. 10, No. 1, pp. 3–10, July, 1971.

The author wishes to thank O. D. Tsereteli for directing this work and P. L. Ul'yanov for the interest he showed in it.

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Gulisashvili, A.B. Distribution functions and trigonometric series with monotonically decreasing coefficients. Mathematical Notes of the Academy of Sciences of the USSR 10, 427–430 (1971). https://doi.org/10.1007/BF01747063

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  • DOI: https://doi.org/10.1007/BF01747063

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