Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150305Statistical uniform convergence in $2$-normed spaces445217710.22075/ijnaa.2015.177ENF.Amouei AraniDepartment of Mathematics, Payame noor University, Tehran, Iran.M.EshaghiDepartment of Mathematics,
Semnan University, P.O.BOX35195-363, Semnan, Iran.Journal Article20130807 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.https://ijnaa.semnan.ac.ir/article_177_4d1eed6de9432e4e84e6620438b88846.pdf