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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On $ \vert \overline N,p\sb n\vert \sb k$ summability factors


Author: Hüseyin Bor
Journal: Proc. Amer. Math. Soc. 94 (1985), 419-422
MSC: Primary 40F05
MathSciNet review: 787885
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper a theorem on $ \vert\overline N ,{p_n}{\vert _k}$ summability factors, which generalizes the theorem of Singh [5], has been proved.


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 (85g:40006)
  • [2] -, On $ \vert\overline N ,{p_n}{\vert _k}$ summability factors of infinite series, Tamkang J. Math. 15 (1984).
  • [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 (19,266a)
  • [4] Babban Prasad Mishra, On the absolute Cesàro summability factors of infinite series, Rend. Circ. Mat. Palermo (2) 14 (1965), 189–194. MR 0199605 (33 #7748)
  • [5] Tikam Singh, A note on 𝑁,𝑝_{𝑛} summability factors for infinite series, J. Math. Sci. 12(13) (1977/78), 25–28 (1981). MR 627071 (82h:40002)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0787885-6
PII: S 0002-9939(1985)0787885-6
Article copyright: © Copyright 1985 American Mathematical Society



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