Approximation of Functions of Two Variables via Almost Convergence of Double Sequences

2011 ◽  
pp. 69-79
Author(s):  
George A. Anastassiou
Keyword(s):  
Almost Convergence ◽  
Double Sequences ◽  
Approximation Of Functions ◽  
Functions Of Two Variables

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.

Uniform Approximation of Functions of Two Variables

2017 ◽  
Vol 53 (3) ◽  
pp. 426-431 ◽  
Author(s):  
P. S. Malachivskyy ◽  
Ya. N. Matviychuk ◽  
Ya. V. Pizyur ◽  
R. P. Malachivskyi
Keyword(s):  
Uniform Approximation ◽  
Approximation Of Functions ◽  
Functions Of Two Variables
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