A Summability Factor Theorem for Generalized Absolute Summability

2006 ◽  
Vol 31 (2) ◽  
pp. 355 ◽  
Author(s):  
B. E. Rhoades ◽  
Ekrem Savaş
Keyword(s):  
Absolute Summability ◽  
Summability Factor ◽  
Factor Theorem

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.

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 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.

Sign in / Sign up

Export Citation Format

Share Document