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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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On $\vert \overline N,p_ n\vert _ k$ summability factors
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by Hüseyin Bor PDF
Proc. Amer. Math. Soc. 94 (1985), 419-422 Request permission

Abstract:

In this paper a theorem on $|\overline N ,{p_n}{|_k}$ summability factors, which generalizes the theorem of Singh [5], has been proved.
References
  • Hüseyin Bor, On $|N,\,p_{n}|_{k}$ summability factors of infinite series, J. Univ. Kuwait Sci. 10 (1983), no. 1, 37–42 (English, with Arabic summary). MR 713198
  • —, On $|\overline N ,{p_n}{|_k}$ summability factors of infinite series, Tamkang J. Math. 15 (1984).
  • T. M. Flett, On an extension of absolute summability and some theorems of Littlewood and Paley, Proc. London Math. Soc. (3) 7 (1957), 113–141. MR 86912, DOI 10.1112/plms/s3-7.1.113
  • Babban Prasad Mishra, On the absolute Cesàro summability factors of infinite series, Rend. Circ. Mat. Palermo (2) 14 (1965), 189–194. MR 199605, DOI 10.1007/BF02847718
  • Tikam Singh, A note on $\bar N,\,p_{n}$ summability factors for infinite series, J. Math. Sci. 12(13) (1977/78), 25–28 (1981). MR 627071
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 94 (1985), 419-422
  • MSC: Primary 40F05
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0787885-6
  • MathSciNet review: 787885