TY - JOUR
ID - 177
TI - Statistical uniform convergence in $2$-normed spaces
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Amouei Arani, F.
AU - Eshaghi, M.
AD - Department of Mathematics, Payame noor University, Tehran, Iran.
AD - Department of Mathematics,
Semnan University, P.O.BOX35195-363, Semnan, Iran.
Y1 - 2015
PY - 2015
VL - 6
IS - 1
SP - 44
EP - 52
KW - statistical convergence
KW - statistical uniform convergence
KW - double sequences
KW - $2$-normed space
DO - 10.22075/ijnaa.2015.177
N2 - The concept of statistical convergence in $2$-normed spaces for double sequence was introduced in [S. Sarabadan and S. Talebi, {it Statistical convergence of double sequences in $2$-normed spaces }, Int. J. Contemp. Math. Sci. 6 (2011) 373--380]. In the first, we introduce concept strongly statistical convergence in $2$-normed spaces and generalize some results. Moreover, we define the concept of statistical uniform convergence in $2$-normed spaces and prove a basic theorem of uniform convergence in double sequences to the case of statistical convergence.
UR - https://ijnaa.semnan.ac.ir/article_177.html
L1 - https://ijnaa.semnan.ac.ir/article_177_4d1eed6de9432e4e84e6620438b88846.pdf
ER -