Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey.
Gaziantep University, Science and Art Faculty, Department of Mathematics, 27200, Gaziantep,Turkey.
This paper presents the following new denition which is a natural combination of the denition for
asymptotically double equivalent, double statistically limit and double 2 sequences. The double
sequence 2 = (m;n) of positive real numbers tending to innity such that
m+1;n m;n + 1; m;n+1 m;n + 1;
m;n m+1;n m;n+1 m+1;n+1; 1;1 = 1;
Im;n = f(k; l) : m m;n + 1 k m; n m;n + 1 l ng :
For double 2sequence; the two non-negative sequences x = (xk;l) and y = (yk;l) are said to be
2asymptotically double statistical equivalent of multiple L provided that for every " > 0
(k; l) 2 Im;n :
(denoted by x
2 v y) and simply 2asymptotically double statistical equivalent if L = 1.