On Tauberian Theorems for Double Series

1940 ◽  
Vol 62 (1/4) ◽  
pp. 666 ◽  
Author(s):  
Ralph Palmer Agnew

2021 ◽  
pp. 84
Author(s):  
T.N. Yarkovaia

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



1999 ◽  
Vol 6 (6) ◽  
pp. 591-600
Author(s):  
Sh. Yanetz (Chachanashvili)

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.



2021 ◽  
pp. 90
Author(s):  
T.N. Yarkovaia

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.





Author(s):  
Ümit Totur

Abstract In this paper we generalize some classical Tauberian theorems for single sequences to double sequences. One-sided Tauberian theorem and generalized Littlewood theorem for (C; 1; 1) summability method are given as corollaries of the main results. Mathematics Subject Classification 2010: 40E05, 40G0



1998 ◽  
Vol 193 (1) ◽  
pp. 211-234 ◽  
Author(s):  
Richard Warlimont
Keyword(s):  








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