Absolute Almost Convergence

2021 ◽  
pp. 89-102
Author(s):  
Gokulananda Das ◽  
Sudarsan Nanda
Keyword(s):  
Almost Convergence

scholarly journals Advances in almost convergence

2012 ◽  
Vol 3 (1) ◽  
pp. 49-66
Author(s):  
Chao You
Keyword(s):  
Almost Convergence

scholarly journals Generalized Almost Convergence and Core Theorems of Double Sequences

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
S. A. Mohiuddine ◽  
Abdullah Alotaibi
Keyword(s):  
Banach Space ◽  
Almost Convergence ◽  
Double Sequences ◽  
Tauberian Condition ◽  
Core Equivalence

The idea of[λ, μ]-almost convergence (briefly,F[λ, μ]-convergence) has been recently introduced and studied by Mohiuddine and Alotaibi (2014). In this paper first we define a norm onF[λ, μ]such that it is a Banach space and then we define and characterize those four-dimensional matrices which transformF[λ, μ]-convergence of double sequencesx=(xjk)intoF[λ, μ]-convergence. We also define aF[λ, μ]-core ofx=(xjk)and determine a Tauberian condition for core inclusions and core equivalence.

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