Statistical uniform convergence in $2$-normed spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 9، دوره 6، شماره 1، 2015، صفحه 44-52 اصل مقاله (372.56 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2015.177 | ||
| نویسندگان | ||
| F. Amouei Arani1؛ M. Eshaghi* 2 | ||
| 1Department of Mathematics, Payame noor University, Tehran, Iran. | ||
| 2Department of Mathematics, Semnan University, P.O.BOX35195-363, Semnan, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| statistical convergence؛ statistical uniform convergence؛ double sequences؛ $2$-normed space | ||
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