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Uniform Convergence of Trigonometric Series with General Monotone Coefficients

  • Mikhail Dyachenko (a1), Askhat Mukanov (a2) (a3) and Sergey Tikhonov (a4) (a5)

We study criteria for the uniform convergence of trigonometric series with general monotone coefficients. We also obtain necessary and sufficient conditions for a given rate of convergence of partial Fourier sums of such series.

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This research was partially supported by RFFI no. 16-01-00350, MTM 2014-59174-P, 2014 SGR 289, the grants of Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan (projects AP05131707, AP05133301), and by the CERCA Programme of the Generalitat de Catalunya.

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Canadian Journal of Mathematics
  • ISSN: 0008-414X
  • EISSN: 1496-4279
  • URL: /core/journals/canadian-journal-of-mathematics
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