On lambda Statistical Upward Compactness and Continuity
| dc.authorid | 0000-0001-7344-5826 | en_US |
| dc.contributor.author | Cakalli, Huseyin | |
| dc.date.accessioned | 2024-07-12T21:47:01Z | |
| dc.date.available | 2024-07-12T21:47:01Z | |
| dc.date.issued | 2018 | en_US |
| dc.department | Maltepe Üniversitesi | en_US |
| dc.description.abstract | A sequence (alpha(k)) of real numbers is called lambda-statistically upward quasi-Cauchy if for every epsilon > 0 lim(n ->infinity)1/lambda(n)vertical bar{K is an element of I-n : alpha(k) - alpha(k+1) >= epsilon}vertical bar = 0, where (lambda(n)) is a non decreasing sequence of positive numbers tending to infinity such that lambda(n+1) <= lambda(n) + 1, lambda(1) = 1, and I-n = [n - lambda(n) + 1,n] for any positive integer n. A real valued function f defined on a subset of R, the set of real numbers is lambda-statistically upward continuous if it preserves lambda-statistical upward quasi-Cauchy sequences. lambda-statistically upward compactness of a subset in real numbers is also introduced and some properties of functions preserving such quasi Cauchy sequences are investigated. It turns out that a function is uniformly continuous if it is A-statistical upward continuous on a lambda-statistical upward compact subset of R. | en_US |
| dc.identifier.doi | 10.2298/FIL1812435C | |
| dc.identifier.endpage | 4443 | en_US |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issue | 12 | en_US |
| dc.identifier.scopus | 2-s2.0-85061455176 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 4435 | en_US |
| dc.identifier.uri | https://dx.doi.org/10.2298/FIL1812435C | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/7990 | |
| dc.identifier.volume | 32 | en_US |
| dc.identifier.wos | WOS:000461182200028 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Cakalli, Huseyin | |
| dc.language.iso | en | en_US |
| dc.publisher | UNIV NIS, FAC SCI MATH | en_US |
| dc.relation.ispartof | FILOMAT | 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 | KY01033 | |
| dc.subject | Sequences | en_US |
| dc.subject | statistical convergence | en_US |
| dc.subject | quasi-Cauchy sequences | en_US |
| dc.subject | continuity | en_US |
| dc.title | On lambda Statistical Upward Compactness and Continuity | en_US |
| dc.type | Article | |
| dspace.entity.type | Publication |
