An application of almost increasing sequences

Author(s):  
Baǧdagül Kartal ◽  
2004 ◽  
Vol 2004 (69) ◽  
pp. 3793-3797 ◽  
Author(s):  
B. E. Rhoades ◽  
Ekrem Savaş

We obtain sufficient conditions for the series∑anλnto be absolutely summable of orderkby a triangular matrix.


2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Hüseyin Bor

Recently, we have proved a main theorem dealing with the absolute Nörlund summability factors of infinite series by using -quasimonotone sequences. In this paper, we prove that result under weaker conditions. A new result has also been obtained.


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