Conditions for the absolute summability in power p of double series

1990 ◽  
Vol 48 (5) ◽  
pp. 589-593
Author(s):  
K. M. Slepenchuk
Keyword(s):  
Double Series ◽  
Absolute Summability ◽  
The Absolute

scholarly journals On the absolute summability of Fourier series

1938 ◽  
Vol 44 (10) ◽  
pp. 733-737
Author(s):  
W. C. Randels
Keyword(s):  
Fourier Series ◽  
Absolute Summability ◽  
The Absolute ◽  
Summability Of Fourier Series

Absolute Summability Factors and Absolute Tauberian Theorems for Double Series and Sequences

1999 ◽  
Vol 6 (6) ◽  
pp. 591-600
Author(s):  
Sh. Yanetz (Chachanashvili)
Keyword(s):  
Double Series ◽  
Absolute Summability ◽  
Tauberian Theorems ◽  
Summability Factors ◽  
Tauberian Conditions ◽  
Absolute Summability Factors

Abstract Let 𝐴 and 𝐵 be the linear methods of the summability of double series with fields of bounded summability and , respectively. Let 𝑇 be certain set of double series. The condition 𝑥 ∈ 𝑇 is called 𝐵𝑏-Tauberian for 𝐴 if . Some theorems about summability factors enable one to find new 𝐵𝑏-Tauberian conditions for 𝐴 from the already known 𝐵𝑏-Tauberian conditions for 𝐴.

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 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 trigonometric series

1986 ◽  
Vol 12 (1) ◽  
pp. 77-84
Author(s):  
Tamotsu Tsuchikura
Keyword(s):  
Trigonometric 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 .

On the Absolute Summability (C ) of Power Series

1939 ◽  
Vol s1-14 (2) ◽  
pp. 101-112 ◽  
Author(s):  
H. C. Chow
Keyword(s):  
Power Series ◽  
Absolute Summability ◽  
The Absolute

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.

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