| dc.contributor.author | Taş, Emre | |
| dc.contributor.author | Yurdakadim, Tuğba | |
| dc.date.accessioned | 2019-05-13T09:08:28Z | |
| dc.date.available | 2019-05-13T09:08:28Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Taş, E., Yurdakadim, T. (2018). The Arzelà–Ascoli theorem by means of ideal convergence. Georgian Mathematical Journal, 25(3), 475-479. | en_US |
| dc.identifier.issn | 1072-947X | |
| dc.identifier.uri | https://doi.org/10.1515/gmj-2017-0052 | |
| dc.identifier.uri | https://hdl.handle.net/11491/2000 | |
| dc.description.abstract | In this paper, using the concept of ideal convergence, which extends the idea of ordinary convergence and statistical convergence, we are concerned with the I-uniform convergence and the I-pointwise convergence of sequences of functions defined on a set of real numbers D. We present the Arzelà-Ascoli theorem by means of ideal convergence and also the relationship between I-equicontinuity and I-continuity for a family of functions. © 2018 Walter de Gruyter GmbH, Berlin/Boston. | en_US |
| dc.language.iso | eng | |
| dc.publisher | De Gruyter | en_US |
| dc.relation.isversionof | 10.1515/gmj-2017-0052 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Classical Arzelà-Ascoli Theorem | en_US |
| dc.subject | Ideal Convergence | en_US |
| dc.subject | Pointwise and Uniform Convergence | en_US |
| dc.title | The Arzelà-Ascoli theorem by means of ideal convergence | en_US |
| dc.type | article | en_US |
| dc.relation.journal | Georgian Mathematical Journal | en_US |
| dc.department | Hitit Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.authorid | 0000-0003-2522-6092 | en_US |
| dc.identifier.volume | 25 | en_US |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.startpage | 475 | en_US |
| dc.identifier.endpage | 479 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
