A theorem on the absolute riesz summability of a fourier series at a point

1983 ◽  
Vol 14 (2) ◽  
pp. 139-146
Author(s):  
P. Chandra
Keyword(s):  
Fourier Series ◽  
Riesz Summability ◽  
Absolute Riesz Summability ◽  
The Absolute

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.

On absolute Riesz summability factors of infinite series and their application to Fourier series

2019 ◽  
Vol 26 (3) ◽  
pp. 361-366
Author(s):  
Hüseyin Bor
Keyword(s):  
Fourier Series ◽  
Infinite Series ◽  
Summability Method ◽  
Trigonometric Fourier Series ◽  
Summability Factors ◽  
Riesz Summability ◽  
Absolute Riesz Summability ◽  
The Absolute

Abstract In this paper, some known results on the absolute Riesz summability factors of infinite series and trigonometric Fourier series have been generalized for the {\lvert\bar{N},p_{n};\theta_{n}\rvert_{k}} summability method. Some new and known results are also obtained.

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