Slowly oscillating continuity
dc.authorid | 0000-0001-7344-5826 | en_US |
dc.contributor.author | Çakallı, Hüseyin | |
dc.date.accessioned | 2024-07-12T20:47:41Z | |
dc.date.available | 2024-07-12T20:47:41Z | |
dc.date.issued | 2008 | en_US |
dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | A function is continuous if and only if, for each point in the domain, , whenever . This is equivalent to the statement that is a convergent sequence whenever is convergent. The concept of slowly oscillating continuity is defined in the sense that a function is slowly oscillating continuous if it transforms slowly oscillating sequences to slowly oscillating sequences, that is, is slowly oscillating whenever is slowly oscillating. A sequence of points in is slowly oscillating if , where denotes the integer part of . Using 's and 's, this is equivalent to the case when, for any given , there exist and such that if and . A new type compactness is also defined and some new results related to compactness are obtained. | en_US |
dc.identifier.citation | Çakallı, H. (2008). Slowly oscillating continuity. Abstract and Applied Analysis. Hindawi. s. 1-5. | en_US |
dc.identifier.doi | 10.1155/2008/485706 | |
dc.identifier.endpage | 5 | en_US |
dc.identifier.scopus | 2-s2.0-43949092733 | en_US |
dc.identifier.startpage | 1 | en_US |
dc.identifier.uri | https://www.hindawi.com/journals/aaa/2008/485706/ | |
dc.identifier.uri | https://doi.prg/10.1155/2008/485706 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12415/2028 | |
dc.identifier.wos | WOS:000255607900001 | en_US |
dc.identifier.wosquality | Q2 | en_US |
dc.indekslendigikaynak | Web of Science | |
dc.indekslendigikaynak | Scopus | |
dc.institutionauthor | Çakallı, Hüseyin | |
dc.language.iso | en | en_US |
dc.publisher | Hindawi | en_US |
dc.relation.ispartof | Abstract and Applied Analysis | en_US |
dc.relation.publicationcategory | Uluslararası Editör Denetimli Dergide Makale | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.snmz | KY00018 | |
dc.title | Slowly oscillating continuity | en_US |
dc.type | Article | |
dspace.entity.type | Publication |