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A note on two summability methods

Author: Hüseyin Bor
Journal: Proc. Amer. Math. Soc. 98 (1986), 81-84
MSC: Primary 40F05; Secondary 40G05
MathSciNet review: 848880
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Abstract: In this paper we have established a relation between the $ \vert N,{p_n}{\vert _k}$ and $ \vert C,1{\vert _k}$ summability methods, which is the converse of the result of Bor [2].

References [Enhancements On Off] (What's this?)

  • [1] Hüseyin Bor, On \vert𝑁,𝑝_{𝑛}\vert_{𝑘} summability factors of infinite series, J. Univ. Kuwait Sci. 10 (1983), no. 1, 37–42 (English, with Arabic summary). MR 713198
  • [2] Hüseyin Bor, On two summability methods, Math. Proc. Cambridge Philos. Soc. 97 (1985), no. 1, 147–149. MR 764503, 10.1017/S030500410006268X
  • [3] 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 0086912
  • [4] E. Kogbetliantz, Sur les séries absolument sommables par la méthode des moyennes arithmétiques, Bull. Sci. Math. 9 (1925), 234-256.

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Article copyright: © Copyright 1986 American Mathematical Society