scholarly journals A note on absolute indexed Riesz Summability factor

2017 ◽  
Vol 29 (12) ◽  
pp. 530-540
Author(s):  
B.P. PADHY ◽  
◽  
P. TRIPATHY ◽  
B.B. MISHRA ◽  
U.K. MISRA ◽  
...  
Keyword(s):  
Summability Factor ◽  
Riesz Summability

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.

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 On absolute generalized N"orlund summability of orthogonal series

2002 ◽  
Vol 33 (2) ◽  
pp. 161-166
Author(s):  
Y. Okuyama
Keyword(s):  
Orthogonal Series ◽  
General Theorem ◽  
Riesz Summability ◽  
Absolute Riesz Summability ◽  
The Absolute

In this paper, we shall prove a general theorem which contains two theorems on the absolute N"orlund summability and the absolute Riesz summability of orthogonal series.

A Note on Strong Riesz Summability

1982 ◽  
Vol 25 (3) ◽  
pp. 263-272
Author(s):  
B. Thorpe
Keyword(s):  
Convergence Factor ◽  
Riesz Summability

AbstractThis note proves that if 1 ≤ p < ∞ and 1 − 1/p < k < 2 − 1/p then the space of sequences strongly Riesz summable [R, λ, k]p to 0 has AK. Using general results of Jakimovski and Russell it is then possible to deduce a best possible limitation condition and a convergence factor result for [R, λ, k]p.

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