Statistical uniform convergence in $2$-normed spaces
نویسندگان
1 Department of Mathematics, Payame noor University, Tehran, Iran.
2 Department of Mathematics, Semnan University, P.O.BOX35195-363, Semnan, Iran.
doi
10.22075/ijnaa.2015.177چکیده
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.