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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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A note on two summability methods
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by Hüseyin Bor PDF
Proc. Amer. Math. Soc. 98 (1986), 81-84 Request permission

Abstract:

In this paper we have established a relation between the $|N,{p_n}{|_k}$ and $|C,1{|_k}$ summability methods, which is the converse of the result of Bor [2].
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
  • Hüseyin Bor, On two summability methods, Math. Proc. Cambridge Philos. Soc. 97 (1985), no. 1, 147–149. MR 764503, DOI 10.1017/S030500410006268X
  • 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
  • E. Kogbetliantz, Sur les séries absolument sommables par la méthode des moyennes arithmétiques, Bull. Sci. Math. 9 (1925), 234-256.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 98 (1986), 81-84
  • MSC: Primary 40F05; Secondary 40G05
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0848880-2
  • MathSciNet review: 848880