Absolute summability factors of infinite series by Rieszian means

1962 ◽  
Vol 11 (1) ◽  
pp. 91-104 ◽  
Author(s):  
Z. U. Ahmad
Keyword(s):  
Infinite Series ◽  
Absolute Summability ◽  
Summability Factors ◽  
Absolute Summability Factors

scholarly journals Characterization on some absolute summability factors of infinite series

1999 ◽  
Vol 22 (4) ◽  
pp. 817-822
Author(s):  
W. T. Sulaiman
Keyword(s):  
Infinite Series ◽  
General Theorem ◽  
Absolute Summability ◽  
Summability Factors ◽  
Absolute Summability Factors

A general theorem concerning some absolute summability factors of infinite series is proved. This theorem characterizes as well as generalizes our previous result [4]. Other results are also deduced.

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

1967 ◽  
Vol 63 (1) ◽  
pp. 107-118 ◽  
Author(s):  
R. N. Mohapatra ◽  
G. Das ◽  
V. P. Srivastava
Keyword(s):  
Fourier Series ◽  
Bounded Variation ◽  
Infinite Series ◽  
Absolute Summability ◽  
Summability Factors ◽  
Partial Sum ◽  
Absolute Summability Factors ◽  
Image Position

Definition. Let {sn} be the n-th partial sum of a given infinite series. If the transformationwhereis a sequence of bounded variation, we say that εanis summable |C, α|.

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