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New results on $ f $-statistical convergence of order $ \tilde{\alpha} $ through triple sequences spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 28 اسفند 1403 اصل مقاله (402.39 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25758.3119 | ||
| نویسندگان | ||
| Carlos Granados* 1؛ Omer Kisi2 | ||
| 1Escuela Ciencias de la Educacion, Universidad Nacional Abierta y a Distancia, Barranquilla, Colombia | ||
| 2Department of Mathematics, Faculty of Sciences, Bartin University, 74100 Bartin, Turkey | ||
| تاریخ دریافت: 10 دی 1400، تاریخ بازنگری: 06 خرداد 1401، تاریخ پذیرش: 21 خرداد 1401 | ||
| چکیده | ||
| 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 $. | ||
| کلیدواژه‌ها | ||
| Triple sequences؛ statistical convergence؛ Ces`aro summability method | ||
| مراجع | ||
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