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Weighted statistical rough convergence in normed spaces |
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| รหัสดีโอไอ | |
| Creator | Erdal Bayram |
| Title | Weighted statistical rough convergence in normed spaces |
| Contributor | Abdullah Aydin, Mehmet Kucukaslan |
| Publisher | Maejo University |
| Publication Year | 2567 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 18 |
| Journal No. | 2 |
| Page no. | 178 |
| Keyword | statistical rough convergence, g-weight density, limit points, normed spaces |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | Statistical convergence is a significant generalisation of the traditional convergence of real or complex valued sequences. Over the years, it has been studied by many authors and found many applications in various problems. In this paper we introduce a new concept about statistical rough convergence for sequences in normed spaces by using weighted density, which is a generalisation of the natural density. We investigate the fundamental properties of g-statistical rough convergence and statistical rough limit points including closeness, convexity and boundedness. We also establish a relationship between statistical rough limit points and g-statistical boundedness. The obtained results provide a new framework for studying statistical rough convergence. |
