Almost increasing sequences and their new applications

2018 ◽  
Author(s):  
Hikmet Seyhan Özarslan ◽  
Bağdagül Kartal
Keyword(s):  
New Applications ◽  
Increasing Sequences ◽  
Almost Increasing Sequences

scholarly journals Quasimonotone and Almost Increasing Sequences and Their New Applications

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Hüseyin Bor
Keyword(s):  
Infinite Series ◽  
Summability Factors ◽  
The Absolute ◽  
New Applications ◽  
Weaker Conditions ◽  
Increasing Sequences ◽  
Almost Increasing Sequences ◽  
Absolute Nörlund Summability

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.

scholarly journals Almost increasing sequences and their new applications II

Filomat ◽  
2014 ◽  
Vol 28 (3) ◽  
pp. 435-439 ◽  
Author(s):  
Hüseyin Bor
Keyword(s):  
Infinite Series ◽  
Summability Factors ◽  
New Applications ◽  
Increasing Sequences ◽  
Almost Increasing Sequences

In this paper, we generalize a known theorem dealing with |C,?|k summability factors to the |C,?,?,?|k summability factors of infinite series. This theorem also includes some known and new results.

scholarly journals A summability factor theorem for absolute summability involving almost increasing sequences

2004 ◽  
Vol 2004 (69) ◽  
pp. 3793-3797 ◽  
Author(s):  
B. E. Rhoades ◽  
Ekrem Savaş
Keyword(s):  
Sufficient Conditions ◽  
Triangular Matrix ◽  
Absolute Summability ◽  
Summability Factor ◽  
Factor Theorem ◽  
Increasing Sequences ◽  
Almost Increasing Sequences

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

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