Introducing $n$-sequences and study of their topological properties | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 192، دوره 13، شماره 2، مهر 2022، صفحه 2389-2398 اصل مقاله (450.78 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23309.2518 | ||
| نویسندگان | ||
| Sabiha Tabassum1؛ Fatma Ruqaiyya1؛ Ayhan Esi* 2 | ||
| 1Department of Applied Mathematics, Zakir Husain College of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India | ||
| 2Department of Basic Engineering Sciences, Engineering Faculty, Malatya Turgut Ozal University, Malatya-44040, Turkey | ||
| چکیده | ||
| In this article, the concept of $n$-sequences in topological spaces has been introduced which is new to the existing literature. We study the sequential limit aspect of statistical convergence for such sequences. Besides, the notions of subsequences, limit points, statistical limits points, and statistical cluster points in topological spaces have been given for $n$-sequences. This material contains a detailed explanation of inclusion relations between these points spaces and their basic properties. We also introduce $s_{n}$ and $s_{n}^{*}$-convergent spaces and discuss some of their properties. | ||
| کلیدواژهها | ||
| n-sequence؛ Statistical convergence؛ Statistical limit point؛ Statistical cluster point | ||
| مراجع | ||
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