A new type of statistical Cauchy sequence and its relation to Bourbaki completeness
| dc.contributor.author | İlkhan, Merve | |
| dc.contributor.author | Kara, Emrah Evren | |
| dc.date.accessioned | 2020-04-30T22:38:45Z | |
| dc.date.available | 2020-04-30T22:38:45Z | |
| dc.date.issued | 2018 | |
| dc.department | DÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description | Kara, Emrah Evren/0000-0002-6398-4065; Ilkhan, Merve/0000-0002-0831-1474 | en_US |
| dc.description | WOS: 000439520400001 | en_US |
| dc.description.abstract | Bourbaki complete metric spaces are important since they are a class between compact metric spaces and complete metric spaces. The aim of the present paper is to introduce the statistical Bourbaki-Cauchy sequence as a new concept and to give an equivalent condition for a metric space to be Bourbaki complete. Also, Bourbaki complete and Bourbaki-bounded metric spaces are characterized in terms of functions which preserve statistical Bourbaki-Cauchy sequences. | en_US |
| dc.identifier.doi | 10.1080/25742558.2018.1487500 | en_US |
| dc.identifier.issn | 2331-1835 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.uri | https://doi.org/10.1080/25742558.2018.1487500 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/2418 | |
| dc.identifier.volume | 5 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis As | en_US |
| dc.relation.ispartof | Cogent Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Bourbaki-Cauchy sequences | en_US |
| dc.subject | Bourbaki completeness | en_US |
| dc.subject | Bourbaki boundedness | en_US |
| dc.subject | statistical convergence | en_US |
| dc.subject | asymptotic density | en_US |
| dc.title | A new type of statistical Cauchy sequence and its relation to Bourbaki completeness | en_US |
| dc.type | Review Article | en_US |
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