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Statistical continuity of functions with values in uniform spaces |
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| รหัสดีโอไอ | |
| Creator | Ismail Osmanoglu |
| Title | Statistical continuity of functions with values in uniform spaces |
| Contributor | Erdinc Dundar |
| Publisher | Maejo University |
| Publication Year | 2569 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 20 |
| Journal No. | 1 |
| Page no. | 27 |
| Keyword | statistical continuity, statistical ward continuity, uniform space, statistical convergence, statistical quasi-Cauchy sequences |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | This paper comprehensively investigates the statistical continuity of functions taking values in uniform spaces. It aims to demonstrate how classical continuity can be characterised and extended by replacing traditional sequence convergence with statistically structured sequences defined via natural density. Thus, the concept of continuity is reinterpreted through statistical convergence, offering a more profound and comprehensive theoretical contribution to the study of continuity in uniform spaces. |
