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SUBSEQUENCE CHARACTERIZAT ION OF UNIFORM STATISTICAL CONVERGENCE OF DOUBLE SEQUENCE
Author(s) : Fikret Čunjalo and Fatih Destović
Pages : [37] - [50]
Received : October 26, 2017; Revised November 18, 2017
Pages : [37] - [50]
Received : October 26, 2017; Revised November 18, 2017
Abstract
In this paper, it is shown that almost every, in terms of P, subsequence 
of double sequence S is not uniformly statistically convergent to L if S converges to L uniformly statistically.
Almost every, in terms of measure .gif){kind=small}
subsequence of double sequence S converges to L, in the Pringsheim’s sense, if S converges to L uniformly statistically and divergently in the Pringsheim’s sense. This is not true for P.
Keywords
double sequences, uniform statistical convergence.