Note to the absolute Nörlund summability of Fourier series

1966 ◽  
Vol 17 (5) ◽  
pp. 452-454
Author(s):  
László Leindler
Keyword(s):  
Fourier Series ◽  
The Absolute ◽  
Summability Of Fourier Series ◽  
Absolute Nörlund Summability

scholarly journals On absolute Norlund summability of Fourier series

2002 ◽  
Vol 33 (4) ◽  
pp. 359-364
Author(s):  
B. E. Rhoades ◽  
Ekrem Savacs
Keyword(s):  
Fourier Series ◽  
The Absolute ◽  
Summability Of Fourier Series ◽  
Absolute Nörlund Summability

We obtain two theorems on the absolute Norlund summability of Fourier series and factored Fourier series.

On the Absolute Nörlund Summability of a Fourier Series

1973 ◽  
Vol 16 (4) ◽  
pp. 599-602
Author(s):  
D. S. Goel ◽  
B. N. Sahney
Keyword(s):  
Fourier Series ◽  
Bounded Variation ◽  
Infinite Series ◽  
Partial Sums ◽  
The Absolute ◽  
Image Position ◽  
Absolute Nörlund Summability

Let be a given infinite series and {sn} the sequence of its partial sums. Let {pn} be a sequence of constants, real or complex, and let us write(1.1)If(1.2)as n→∞, we say that the series is summable by the Nörlund method (N,pn) to σ. The series is said to be absolutely summable (N,pn) or summable |N,pn| if σn is of bounded variation, i.e.,(1.3)

Sign in / Sign up

Export Citation Format

Share Document