Positivity

, Volume 17, Issue 3, pp 677–681 | Cite as

An application of quasi-f-power increasing sequences

Article

Abstract

In Bor (C. R. Acad. Sci. Paris, Ser. I 346:391–394, 2008), we have proved a result dealing with \(\mid {\bar{N}, p_n, \theta _{n}} \mid _{k}\) summability factors by using a quasi-\(\beta \)-power increasing sequence . In this paper, that result has been generalized by using a new class of power increasing sequences , which is a wider calss of sequences, instead of a quasi-\(\beta \)-power increasing sequence. Some new results have also been obtained.

Keywords

Absolute summability Increasing sequences Infinite series  Sequence spaces 

Mathematics Subject Classification (2010)

40D15 40F05 40G05 40G99 46A45 

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Copyright information

© Springer Basel AG 2012

Authors and Affiliations

  1. 1.AnkaraTurkey

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