New results on $ f $-statistical convergence of order $ \tilde{\alpha} $ through triple sequences spaces
نویسندگان
1 Department of Mathematics, Faculty of Sciences, Bartin University, 74100 Bartin, Turkey
2 Escuela Ciencias de la Educacion, Universidad Nacional Abierta y a Distancia, Barranquilla, Colombia
doi
10.22075/ijnaa.2022.25758.3119چکیده
In this paper, we define new notions of $ f $-statistical convergence for triple sequences of order $ \tilde{\alpha}$ and strong $ f $-Cesaro summability for triple sequences of order $ \tilde{\alpha} $. Moreover we show the relationship between the spaces $ w_{\tilde{\alpha},0}^{3}(f) $, $ w_{\tilde{\alpha}}^{3}(f) $ and $ w_{\tilde{\alpha},\infty}^{3}(f) $. Additionally, we show some properties of the strong $ f $-Cesaro summability of order $ \tilde{\beta} $. The main purpose of this paper is to examine the concept of $f$-triple statistical convergence of order $\alpha $; where $f$-is an unbounded function and give relations between $f$-triple statistical convergence of order $\alpha $ and strong $f$-Ces\`aro summability for a triple sequence of order $\alpha $.