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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Summability of Fourier series with the method of lacunary arithmetical means at the Lebesgue points
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by E. S. Belinsky PDF
Proc. Amer. Math. Soc. 125 (1997), 3689-3693 Request permission

Abstract:

The existence of the ‘rare’ sequence of partial sums summable with the method of arithmetical means at each Lebesgue point is proved in the paper. The proof is based on the strategy of random choice.
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Additional Information
  • E. S. Belinsky
  • Affiliation: Department of Mathematics, University of Zimbabwe, PO Box MP 167, Mount Pleasant, Harare, Zimbabwe
  • Email: belinsky@maths.uz.zw
  • Received by editor(s): July 30, 1996
  • Communicated by: Christopher D. Sogge
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 3689-3693
  • MSC (1991): Primary 42A16, 42A24
  • DOI: https://doi.org/10.1090/S0002-9939-97-04153-1
  • MathSciNet review: 1425111