scholarly journals Absolute Nörlund summability factors of fourier series

1984 ◽  
pp. 47-60
Author(s):  
Yasuo Okuyama
Keyword(s):  
Fourier Series ◽  
Summability Factors ◽  
Absolute Nörlund Summability

scholarly journals On the absolute Nörlund summability factors of Fourier series

1975 ◽  
Vol 12 (1) ◽  
pp. 9-21 ◽  
Author(s):  
Yasuo Okuyama
Keyword(s):  
Fourier Series ◽  
General Theorem ◽  
Summability Factors ◽  
The Absolute ◽  
Absolute Nörlund Summability

The object of this paper is to give a general theorem which implies Izumi's Theorem and Kanno's Theorem on the absolute Nörlund summability factors of Fourier series and deduce to several known and new results from the theorem.

scholarly journals On the absolute Nörlund summability factors of a Fourier series and its conjugate series at a point

1978 ◽  
Vol 19 (2) ◽  
pp. 161-181
Author(s):  
Kôsi Kanno
Keyword(s):  
Fourier Series ◽  
Summability Factors ◽  
Conjugate Series ◽  
The Absolute ◽  
Absolute Nörlund Summability

The object of this paper is to give generalizations of Okuyama's Theorem [Bull. Austral. Math. Soc.12 (1975), 9–21, Tôohoku Math. J. (2) 28 (1976), 563–581] on the absolute Nörlund summability factors of a Fourier series and its conjugate series.Our theorems imply many results proved by other authors: especially Theorem 1 includes the results of Bhatt and Kishor [Indian J. Math.9 (1967), 259–267 (1968)], Dikshit [Pacific J. Math.63 (1976), 371–379], and Lal [Publ. Inst. Math. (Beograd) 20 (34) (1976), 169–178], and we can easily deduce Lal's result [Indian J. Math.16 (1974), 1–22] from our Corollary 2.

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