scholarly journals Absolute Nörlund summability factors of conjugate series of fourier series

1984 ◽  
pp. 61-76
Author(s):  
Yasuo Okuyama
Keyword(s):  
Fourier Series ◽  
Summability Factors ◽  
Conjugate Series ◽  
Absolute Nörlund Summability

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.

scholarly journals A variation on absolute weighted mean summability factors of Fourier Series and its conjugate series

2019 ◽  
Vol 38 (5) ◽  
pp. 105-113
Author(s):  
Sebnem Yildiz
Keyword(s):  
Fourier Series ◽  
Summability Factors ◽  
Weighted Mean ◽  
Conjugate Series

In this paper, theorems concerning  $\left|\bar{N},p_{n},\theta_{n}\right|_{k}$ factors of Fourier series and its conjugate series are studied. The presented results provide with improvements as well as generalizations of some known results.

Sign in / Sign up

Export Citation Format

Share Document