The absolute summability of power series and Fourier series

1943 ◽  
Vol 10 (2) ◽  
pp. 271-276
Author(s):  
Ching Ts�n Loo
Keyword(s):  
Fourier Series ◽  
Power Series ◽  
Absolute Summability ◽  
The Absolute

On the absolute summability of some series related to a Fourier series

1970 ◽  
Vol 67 (1) ◽  
pp. 29-45 ◽  
Author(s):  
B. K. Ray
Keyword(s):  
Fourier Series ◽  
Periodic Function ◽  
Absolute Summability ◽  
The Absolute ◽  
Image Position

1.Introduction. 1.1. Let f(t) be a periodic function with period 2π and integrable in the Lebesgue sense over ( -π,π). We assume as we may without loss of generality, that the Fourier series of f(t) is .

scholarly journals The Absolute Summability (A) of Fourier Series

1934 ◽  
Vol 4 (1) ◽  
pp. 13-17 ◽  
Author(s):  
L. S. Bosanquet
Keyword(s):  
Fourier Series ◽  
Sufficient Conditions ◽  
Absolute Summability ◽  
The Absolute

Sufficient conditions for the absolute summability (A)1 of a Fourier series have been given by J. M. Whittaker and B. N. Prasad. They obtained theorem 1 below in the cases α = 0 and α = 1 respectively. Theorem 1 is contained in theorem 2, which was given by Prasad in the case α = 0.

The absolute summability of power series

1945 ◽  
Vol 12 (2) ◽  
pp. 373-380
Author(s):  
Ching Ts�n Loo
Keyword(s):  
Power Series ◽  
Absolute Summability ◽  
The Absolute
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