Transformation of Fourier Series by Means of General Monotone Sequences

2020 ◽  
Vol 107 (5-6) ◽  
pp. 740-758
Author(s):  
A. A. Jumabayeva ◽  
B. V. Simonov
Filomat ◽  
2018 ◽  
Vol 32 (10) ◽  
pp. 3709-3715 ◽  
Author(s):  
Şebnem Yıldız

Recently, Bor [5] has obtained two main theorems dealing with |?N,pn|k summability factors of infinite series and Fourier series. In the present paper, we have generalized these theorems for |A,?n|k summability method by using quasi-monotone sequences.


1991 ◽  
Vol 43 (2) ◽  
pp. 187-192 ◽  
Author(s):  
Hüseyin Bor

In this paper using δ-quasi-monotone sequences a theorem on summability factors of infinite series, which generalises a theorem of Mazhar [7] on |C, 1|k summability factors of infinite series, is proved. Also we apply the theorem to Fourier series.


2017 ◽  
Vol 137 (3) ◽  
pp. 245-253
Author(s):  
Hidenori Sasaki ◽  
Hajime Igarashi

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