A Summability Factor Theorem for Infinite Series

2005 ◽  
Vol 30 (2) ◽  
pp. 539 ◽  
Author(s):  
Ekrem Savaş
Keyword(s):  
Infinite Series ◽  
Summability Factor ◽  
Factor Theorem

On general summability factor theorem of infinite series

2011 ◽  
Vol 218 (3) ◽  
pp. 1046-1051
Author(s):  
Hamdullah Şevli˙ ◽  
Ekrem Savaş
Keyword(s):  
Infinite Series ◽  
Summability Factor ◽  
Factor Theorem ◽  
General Summability

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

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

scholarly journals Index Summability of an Infinite Series Using δ-Quasi Monotone Sequence

2015 ◽  
Vol 11 ◽  
pp. 21-29
Author(s):  
Mahendra Misra ◽  
B.P. Padhy ◽  
Santosh Kumar Nayak ◽  
U.K. Misra
Keyword(s):  
Infinite Series ◽  
Monotone Sequence ◽  
Summability Factor

A result concerning absolute indexed Summability factor of an infinite series using δ-Quasi monotone sequence has been established.

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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