Statistical convergence in vector lattices
| dc.contributor.author | Aydın, A. | |
| dc.contributor.author | Temizsu, F. | |
| dc.date.accessioned | 2023-11-22T09:49:46Z | |
| dc.date.available | 2023-11-22T09:49:46Z | |
| dc.date.issued | 2023-09-30 | |
| dc.description.abstract | The statistical convergence is defined for sequences with the asymptotic density on the natural numbers, in general. In this paper, we introduce the statistical convergence in vector lattices by using the finite additive measures on directed sets. Moreover, we give some relations between the statistical convergence and the lattice properties such as the order convergence and lattice operators. | ru_RU |
| dc.identifier.citation | Aydın A. Statistical convergence in vector / A. Aydin, F. Temizsu // Bulletin of the Karaganda University. Mathematics series . – 2023. – № 3(111). – pp. 4-11. | ru_RU |
| dc.identifier.issn | 2663-5011 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/17257 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Karagandy University of the name of acad. E.A. Buketov | ru_RU |
| dc.relation.ispartofseries | Karagandy University of the name of acad. E.A. Buketov;No. 3(111)/2023 | |
| dc.subject | statistical convergence of nets | ru_RU |
| dc.subject | order convergence | ru_RU |
| dc.subject | vector lattice | ru_RU |
| dc.subject | directed set measure | ru_RU |
| dc.title | Statistical convergence in vector lattices | ru_RU |
| dc.type | Article | ru_RU |