On the absolute summability of Fourier multiple series

1972 ◽  
Vol 23 (3) ◽  
pp. 291-304
Author(s):  
Yu. A. Ponomarenko ◽  
M. F. Timan
Keyword(s):  
Absolute Summability ◽  
Multiple Series ◽  
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 On the Absolute Summability (A) of Infinite Series

1932 ◽  
Vol 3 (2) ◽  
pp. 132-134 ◽  
Author(s):  
M Fekete
Keyword(s):  
Bounded Variation ◽  
Infinite Series ◽  
Absolute Summability ◽  
The Absolute ◽  
Image Position

§1. A serieshas been defined by J. M. Whittaker to be absolutely summable (A), ifis convergent in (0 ≤ x < 1) and f (x) is of bounded variation in (0, 1), i.e.for all subdivisions 0 = x0 < x1 < x2 < . … < xm < 1.

Sign in / Sign up

Export Citation Format

Share Document