On Applications of Quasi-Monotone Sequences and Quasi Power Increasing Sequences

2019 ◽  
Vol 40 (4) ◽  
pp. 484-489
Author(s):  
Hüseyin Bor
Keyword(s):  
Monotone Sequences ◽  
Power Increasing Sequences ◽  
Increasing Sequences

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 new note on generalized absolute Cesàro summability factors

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3093-3096
Author(s):  
Hüseyin Bor
Keyword(s):  
Infinite Series ◽  
Summability Method ◽  
Summability Factors ◽  
Cesàro Summability ◽  
Monotone Sequences ◽  
Cesaro Summability ◽  
Power Increasing Sequences ◽  
Increasing Sequences ◽  
General Summability

Quite recently, in [10], we have proved a theorem dealing with the generalized absolute Ces?ro summability factors of infinite series by using quasi monotone sequences and quasi power increasing sequences. In this paper, we generalize this theorem for the more general summability method. This new theorem also includes some new and known results.

On quasi--power increasing sequences

2009 ◽  
Vol 70 (3) ◽  
pp. 1459-1464 ◽  
Author(s):  
Ekrem Savaş
Keyword(s):  
Power Increasing Sequences ◽  
Increasing Sequences

scholarly journals A new study on generalized quasi power increasing sequences

2019 ◽  
Vol 105 (119) ◽  
pp. 137-143
Author(s):  
Hikmet Özarslan
Keyword(s):  
General Theorem ◽  
Power Increasing Sequences ◽  
Increasing Sequences

We prove a general theorem dealing with an application of quasi ?-power increasing sequences. This theorem also includes several new and known results.

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