Ukrainian Mathematical Journal

, Volume 54, Issue 5, pp 785–794 | Cite as

On the Convergence of Fourier Series in the Space L1

  • P. V. Zaderei
  • B. A. Smal'


We establish necessary and sufficient conditions for the convergence in the mean of trigonometric series whose coefficients satisfy the Boas–Telyakovskii conditions.


Fourier Series Trigonometric Series 
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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • P. V. Zaderei
    • 1
  • B. A. Smal'
    • 2
  1. 1.Kiev University of Technology and DesignKiev
  2. 2.Volyn UniversityLuts'k

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