Absolute matrix summability of a factored Fourier series

1993 ◽  
Vol 103 (2) ◽  
Author(s):  
Subas Chandra Jena ◽  
Rashmi Mishra
Keyword(s):  
Fourier Series ◽  
Matrix Summability ◽  
Absolute Matrix Summability

scholarly journals A new theorem on absolute matrix summability of fourier series

2017 ◽  
Vol 102 (116) ◽  
pp. 107-113 ◽  
Author(s):  
Şebnem Yildiz
Keyword(s):  
Fourier Series ◽  
Summability Factors ◽  
Weighted Mean ◽  
Matrix Summability ◽  
Absolute Matrix Summability ◽  
Summability Of Fourier Series ◽  
Weaker Conditions

We generalize a main theorem dealing with absolute weighted mean summability of Fourier series to the |A,pn|k summability factors of Fourier series under weaker conditions. Also some new and known results are obtained.

scholarly journals Local properties of absolute matrix summability of factored fourier series

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4897-4903 ◽  
Author(s):  
Hikmet Özarslan ◽  
Şebnem Yıldız
Keyword(s):  
Fourier Series ◽  
Summability Factors ◽  
Matrix Summability ◽  
Absolute Matrix Summability ◽  
Summability Methods ◽  
Local Properties

In this paper, we introduce two new general theorems on ??A,pn?k summability factors of infinite and Fourier series. By using these theorems, we obtain some new results regarding other important summability methods and investigate conversions between them.

scholarly journals An absolute matrix summability of infinite series and Fourier series

2019 ◽  
Vol 38 (7) ◽  
pp. 49-58
Author(s):  
Sebnem Yildiz
Keyword(s):  
Fourier Series ◽  
Infinite Series ◽  
Vital Role ◽  
The Other ◽  
Weighted Mean ◽  
Matrix Summability ◽  
Absolute Matrix Summability

The aim of this paper is to generalize a main theorem concerning weighted mean summability to absolute matrix summability which plays a vital role in  summability theory and applications to the other sciences by using quasi-$f$-power sequences.

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