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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 absolute summability of Fourier series of a function of Wiener’s class by Nörlund means
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by S. N. Lal and Siya Ram PDF
Proc. Amer. Math. Soc. 67 (1977), 87-94 Request permission

Abstract:

In this paper we prove that under suitable restrictions on $\{ {p_n}\}$ and the integral modulus of continuity of a function f of Wiener’s class the Fourier series of f is summable $|N,{p_n}|$.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 67 (1977), 87-94
  • MSC: Primary 42A24
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0454502-X
  • MathSciNet review: 0454502