TY - JOUR
ID - 122
TI - On lambda^2-asymptotically double statistical equivalent sequences
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Esi, A.
AU - Acikgoz, M.
AD - Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey.
AD - Gaziantep University, Science and Art Faculty, Department of Mathematics, 27200, Gaziantep,Turkey.
Y1 - 2014
PY - 2014
VL - 5
IS - 2
SP - 16
EP - 21
DO - 10.22075/ijnaa.2014.122
N2 - This paper presents the following new denition which is a natural combination of the denition forasymptotically double equivalent, double statistically limit and double 2 sequences. The doublesequence 2 = (m;n) of positive real numbers tending to innity such thatm+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;andIm;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 be2asymptotically double statistical equivalent of multiple L provided that for every " > 0P limm;n1m;n(k; l) 2 Im;n :xk;lyk;l L "= 0(denoted by xSL2 v y) and simply 2asymptotically double statistical equivalent if L = 1.
UR - https://ijnaa.semnan.ac.ir/article_122.html
L1 - https://ijnaa.semnan.ac.ir/article_122_45ee63901dfa55161fc926e32a4fe85b.pdf
ER -