Invertibility conditions in the theory of absolute summability of double series

1980 ◽  
Vol 32 (2) ◽  
pp. 107-111 ◽  
Author(s):  
K. M. Slepenchuk
Keyword(s):  
Double Series ◽  
Absolute Summability

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.

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 Tauberian theorems in the case of absolute summability in degree $p$ of double series

2021 ◽  
pp. 90
Author(s):  
T.N. Yarkovaia
Keyword(s):  
Tauberian Theorem ◽  
Double Series ◽  
Absolute Summability ◽  
Tauberian Theorems ◽  
Matrix Methods

We establish a Tauberian theorem in the case of absolute summability in degree $p$ of double series by matrix methods, give its application to Abel methods.

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

scholarly journals Fabrication of a Three-dimensional Force Measurement System Using Double Series Magnetic Suspension

2016 ◽  
Vol 49 (21) ◽  
pp. 536-540 ◽  
Author(s):  
Takeshi Mizuno ◽  
Yuji Ishino ◽  
Masaya Takasaki
Keyword(s):  
Measurement System ◽  
Force Measurement ◽  
Three Dimensional ◽  
Double Series ◽  
Magnetic Suspension ◽  
Force Measurement System

On Relationships Between Norlund Means for Double Series

1954 ◽  
Vol 5 (6) ◽  
pp. 957
Author(s):  
Charles N. Moore
Keyword(s):  
Double Series ◽  
Nörlund Means

On the Convergence of Alternating Double Series

1953 ◽  
Vol 60 (6) ◽  
pp. 402 ◽  
Author(s):  
Burnett Meyer
Keyword(s):  
Double Series

Absolute summability of trigonometric series

1981 ◽  
Vol 30 (6) ◽  
pp. 912-919
Author(s):  
I. Szalay
Keyword(s):  
Trigonometric Series ◽  
Absolute Summability
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