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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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The extension of the theorems of Č. V. Stanojević and V. B. Stanojević
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by Shu Yun Sheng PDF
Proc. Amer. Math. Soc. 110 (1990), 895-904 Request permission

Abstract:

The new necessary-sufficient conditions for ${L^1}$ convergence of Fourier series are obtained; Č. V. Stanojevic̀ and V. B. Stanojevic̀’s theorem [5] and Singh and Sharma’s theorem [2] are modified; the convergence theorem for a function sequence in ${L^1}$ space is obtained; and the extensions are made for the Sheng and Yang theorem [6] and Singh and Sharma’s results.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 110 (1990), 895-904
  • MSC: Primary 42A20; Secondary 42A32
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1031672-2
  • MathSciNet review: 1031672