scholarly journals Generalized quasi power increasing sequences and their some new applications

Filomat ◽  
2014 ◽  
Vol 28 (1) ◽  
pp. 153-157
Author(s):  
Hüseyin Bora
Keyword(s):  
General Class ◽  
Power Increasing Sequences ◽  
New Applications ◽  
Increasing Sequences ◽  
Quasi Power Increasing Sequence

In this paper, we generalize a known theorem by using a general class of power increasing sequences instead of a quasi-?-power increasing sequence. This theorem also includes some known and new results.

scholarly journals Power Increasing Sequences and Their Some New Applications

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Hüseyin Bor
Keyword(s):  
Summability Factors ◽  
Power Increasing Sequences ◽  
New Applications ◽  
Weaker Conditions ◽  
Increasing Sequences ◽  
Quasi Power Increasing Sequence

In the work of Bor (2008), we have proved a result dealing with summability factors by using a quasi--power increasing sequence. In this paper, we prove that result under less and more weaker conditions. Some new results have also been obtained.

scholarly journals A new theorem on the absolute Riesz summability factors

Filomat ◽  
2014 ◽  
Vol 28 (8) ◽  
pp. 1537-1541 ◽  
Author(s):  
Hüseyin Bor
Keyword(s):  
Infinite Series ◽  
General Class ◽  
Summability Factors ◽  
Riesz Summability ◽  
Absolute Riesz Summability ◽  
Power Increasing Sequences ◽  
The Absolute ◽  
Increasing Sequences ◽  
Quasi Power Increasing Sequence

In [5], we proved a main theorem dealing with absolute Riesz summability factors of infinite series using a quasi-?-power increasing sequence. In this paper, we generalize that theorem by using a general class of power increasing sequences instead of a quasi-?-power increasing sequence. This theorem also includes some new and known results.

scholarly journals A new application of certain generalized power increasing sequences

Filomat ◽  
2012 ◽  
Vol 26 (4) ◽  
pp. 871-879 ◽  
Author(s):  
Hüseyin Bor ◽  
H.M. Srivastava ◽  
Waadallah Sulaiman
Keyword(s):  
Exceptional Case ◽  
Main Result Theorem ◽  
Special Cases ◽  
Power Increasing Sequences ◽  
Result Theorem ◽  
Increasing Sequences ◽  
Quasi Power Increasing Sequence ◽  
Two Parameter

The main object of this paper is to prove two general theorems by using a two-parameter quasi- f (?,?) -power increasing sequence instead of a quasi-?-power increasing sequence. The first result (Theorem 2.1) in this paper covers the case when 0 < ? < 1 and ? = 0. The second main result (Theorem 2.3) in this paper covers the exceptional case when ? = 1 and ? 5 0. Each of these theorems also includes several new or known results as their special cases and consequences.

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.

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