Double absolute summability factor theorems and applications

2008 ◽  
Vol 69 (1) ◽  
pp. 189-200 ◽  
Author(s):  
Ekrem Savaş ◽  
B.E. Rhoades
Keyword(s):  
Absolute Summability ◽  
Summability Factor

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 On the absolute summability factor of Fourier series

1981 ◽  
Vol 24 (3) ◽  
pp. 327-337
Author(s):  
Yasuo Okuyama
Keyword(s):  
Fourier Series ◽  
General Theorem ◽  
Absolute Summability ◽  
Summability Factor ◽  
Riesz Summability ◽  
Absolute Riesz Summability ◽  
The Absolute ◽  
Tohoku Math

The purpose of this paper is to give a general theorem on the absolute Riesz summability factor of Fourier series which implies Matsumoto's Theorem [Tôhoku Math. J. 8 (1956), 114–124] and to deduce some results from the theorem.

Some summability factor theorems for absolute summability

Analysis ◽  
2002 ◽  
Vol 22 (2) ◽  
pp. 163-174
Author(s):  
Β. E. Rhoades ◽  
E. Savais
Keyword(s):  
Absolute Summability ◽  
Summability Factor
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