Local property of absolute Nörlund summability of fourier series

1984 ◽  
pp. 91-111
Author(s):  
Yasuo Okuyama
Keyword(s):  
Fourier Series ◽  
Local Property ◽  
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 ABSOLUTE NÖRLUND SUMMABILITY OF FOURIER SERIES AND THE DERIVED FOURIER SERIES

1990 ◽  
Vol 21 (1) ◽  
pp. 79-87
Author(s):  
W. T. SULAIMAN
Keyword(s):  
Fourier Series ◽  
Derived Series ◽  
Summability Of Fourier Series ◽  
Absolute Nörlund Summability

In this paper two new theorem concerning $|N_{,Pn }|_k$ summability of Fourier series and its derived series have been proved.

scholarly journals Some absolutely effective product methods

1992 ◽  
Vol 15 (4) ◽  
pp. 641-651
Author(s):  
H. P. Dikshit ◽  
J. A. Fridy
Keyword(s):  
Fourier Series ◽  
General Result ◽  
Arithmetic Mean ◽  
Product Method ◽  
The Matrix ◽  
Related Series ◽  
Summability Of Fourier Series ◽  
Effective Product ◽  
Absolute Nörlund Summability

It is proved that the product methodA(C,1), where(C,1)is the Cesàro arithmetic mean matrix, is totally effective under certain conditions concerning the matrixA. This general result is applied to study absolute Nörlund summability of Fourier series and other related series.

scholarly journals Absolute Nörlund summability of Fourier series of functions of bounded variation

1970 ◽  
Vol 3 (1) ◽  
pp. 111-123 ◽  
Author(s):  
Masako Izumi ◽  
Shin-ichi Izumi
Keyword(s):  
Fourier Series ◽  
Bounded Variation ◽  
Functions Of Bounded Variation ◽  
Summability Of Fourier Series ◽  
Series Of Functions ◽  
Absolute Nörlund Summability

The authors prove two theorems. The first theorem generalizes theorems due to T. Singh and O.P. Varshney, concerning absolute Nörlund summability of Fourier series of functions of bounded variation. The second theorem generalizes theorems of L.S. Bosanquet and H.P. Dikshit.

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