scholarly journals A Summability Factor Theorem for Quasi-Power-Increasing Sequences

2010 ◽  
Vol 2010 (1) ◽  
pp. 105136
Author(s):  
E Savaş
Keyword(s):  
Summability Factor ◽  
Power Increasing Sequences ◽  
Factor Theorem ◽  
Increasing Sequences

A new factor theorem on absolute matrix summability method

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Şebnem Yıldız
Keyword(s):  
Infinite Series ◽  
Summability Method ◽  
Summability Factor ◽  
Matrix Summability ◽  
Absolute Matrix Summability ◽  
Matrix Generalization ◽  
Summability Methods ◽  
Power Increasing Sequences ◽  
Factor Theorem ◽  
Increasing Sequences

Abstract In this paper, we have a new matrix generalization with absolute matrix summability factor of an infinite series by using quasi-β-power increasing sequences. That theorem also includes some new and known results dealing with some basic summability methods

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.

scholarly journals A new factor theorem for generalized Cesàro summability

Filomat ◽  
2014 ◽  
Vol 28 (6) ◽  
pp. 1205-1209
Author(s):  
Hüseyin Bor
Keyword(s):  
Cesàro Summability ◽  
Cesaro Summability ◽  
Power Increasing Sequences ◽  
Factor Theorem ◽  
Weaker Conditions ◽  
Increasing Sequences

In [6], we proved a theorem dealing with an application of quasi-f-power increasing sequences. In this paper, we prove that theorem under less and weaker conditions. This theorem also includes several new results.

A new application of quasi monotone sequences and quasi power increasing sequences to factored infinite series

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5105-5109
Author(s):  
Hüseyin Bor
Keyword(s):  
Infinite Series ◽  
Summability Factors ◽  
Monotone Sequences ◽  
Power Increasing Sequences ◽  
Weaker Conditions ◽  
Increasing Sequences

In this paper, we generalize a known theorem under more weaker conditions dealing with the generalized absolute Ces?ro summability factors of infinite series by using quasi monotone sequences and quasi power increasing sequences. This theorem also includes some new results.

A summability factor theorem and applications

2004 ◽  
Vol 153 (1) ◽  
pp. 155-163
Author(s):  
B.E. Rhoades ◽  
Ekrem Savaş
Keyword(s):  
Summability Factor ◽  
Factor Theorem
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