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Statistical convergence and statistical continuity through deferred Cesaro mean in locally solid Riesz spaces |
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| รหัสดีโอไอ | |
| Creator | Fatih Temizsu |
| Title | Statistical convergence and statistical continuity through deferred Cesaro mean in locally solid Riesz spaces |
| Publisher | Maejo University |
| Publication Year | 2568 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 19 |
| Journal No. | 2 |
| Page no. | 94 |
| Keyword | statistical convergence, deferred Cesaro mean, Riesz spaces, solid topology |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | In this article deferred density is employed to introduce new generalisations of topological convergence, boundedness and Cauchiness for sequences in a locally solid Riesz space. Along with investigating the fundamental properties and inclusion theorems of these newly introduced concepts, the notion of statistical continuity is extended for functions using the deferred Cesaro mean in locally solid Riesz spaces. |