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Trigonometric series with uniformly distributed coefficients

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Ukrainian Mathematical Journal Aims and scope

Abstract

We prove the Hölder condition for the sums of series obtained by the substitution of uniformly distributed sequences for random variables in the Fourier expansion of a wiener process.

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References

  1. L. Kuipers and H. Niederreiter,Uniform Distribution of Sequences, Wiley, New York (1974).

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  2. N. I. Akhiezer,Lectures on Approximation Theory [in Russian], Nauka, Moscow (1965).

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Authors
  1. M. O. Samoilenko
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Additional information

Kiev Polytechnic Institute, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 52, No. 6, pp. 766–772, June, 2000.

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Samoilenko, M.O. Trigonometric series with uniformly distributed coefficients. Ukr Math J 52, 876–885 (2000). https://doi.org/10.1007/BF02591782

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  • DOI: https://doi.org/10.1007/BF02591782

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