On the absolute Riesz summability of orthogonal series

1981 ◽  
Vol 7 (3) ◽  
pp. 199-208 ◽  
Author(s):  
Yasuo Okuyama ◽  
Tamotsu Tsuchikura
2002 ◽  
Vol 33 (2) ◽  
pp. 161-166
Author(s):  
Y. Okuyama

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.


1981 ◽  
Vol 24 (3) ◽  
pp. 327-337
Author(s):  
Yasuo Okuyama

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.


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