scholarly journals The Absolute Summability of Fourier Series

1930 ◽  
Vol 2 (1) ◽  
pp. 1-5 ◽  
Author(s):  
J. M. Whittaker
Keyword(s):  
Fourier Series ◽  
Convergent Series ◽  
Absolute Summability ◽  
Elementary Proposition ◽  
The Absolute ◽  
Summability Of Fourier Series ◽  
Image Position

An elementary proposition states that an absolutely convergent series is convergent, i.e. that ifthen

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 .

Sign in / Sign up

Export Citation Format

Share Document