FORWARD CONTINUITY
| dc.authorid | 0000-0001-7344-5826 | en_US |
| dc.contributor.author | Cakalli, Huseyin | |
| dc.date.accessioned | 2024-07-12T21:50:39Z | |
| dc.date.available | 2024-07-12T21:50:39Z | |
| dc.date.issued | 2011 | en_US |
| dc.department | Maltepe Üniversitesi | en_US |
| dc.description.abstract | A real function f is continuous if and only if (f(x(n))) is a convergent sequence whenever (x(n)) is convergent and a subset E of R is compact if any sequence x = (x(n)) of points in E has a convergent subsequence whose limit is in E where R is the set of real numbers. These well known results suggest us to introduce a concept of forward continuity in the sense that a function f is forward continuous if lim(n ->infinity)Delta(f) (x(n)) = 0 whenever lim(n ->infinity)Delta x(n) = 0 and a concept of forward compactness in the sense that a subset E of R is forward compact if any sequence x = (x.) of points in E has a subsequence z = (z(k)) = (x(nk)) of the sequence x such that lim(n ->infinity)Delta z(k)= 0 where Delta z(k) = z(k+1) z(k). We investigate forward continuity and forward compactness, and prove related theorems. | en_US |
| dc.identifier.endpage | 230 | en_US |
| dc.identifier.issn | 1521-1398 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopusquality | Q4 | en_US |
| dc.identifier.startpage | 225 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/8176 | |
| dc.identifier.volume | 13 | en_US |
| dc.identifier.wos | WOS:000288575900002 | en_US |
| dc.identifier.wosquality | Q4 | en_US |
| dc.indekslendigikaynak | Web of Science | |
| dc.institutionauthor | Cakalli, Huseyin | |
| dc.language.iso | en | en_US |
| dc.publisher | EUDOXUS PRESS, LLC | en_US |
| dc.relation.ispartof | JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.snmz | KY01862 | |
| dc.subject | Continuity | en_US |
| dc.subject | sequences | en_US |
| dc.subject | series | en_US |
| dc.subject | summability | en_US |
| dc.subject | compactness | en_US |
| dc.title | FORWARD CONTINUITY | en_US |
| dc.type | Article | |
| dspace.entity.type | Publication |
