Variations on Statistical Quasi Cauchy Sequences
| dc.authorid | 0000-0001-7344-5826 | en_US |
| dc.contributor.author | Cakalli, Huseyin | |
| dc.date.accessioned | 2024-07-12T20:54:49Z | |
| dc.date.available | 2024-07-12T20:54:49Z | |
| dc.date.issued | 2020 | en_US |
| dc.department | Maltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi | en_US |
| dc.description.abstract | In this paper, we introduce a concept of statistically p-quasi-Cauchyness of a real sequence in the sense that a sequence (alpha(k)) is statistically p-quasi-Cauchy if lim(n) (->infinity)1/n vertical bar {k <= n : vertical bar alpha(k+p) - alpha(k)vertical bar >= epsilon}vertical bar = 0 for each epsilon > 0. A function f is called statistically p-ward continuous on a subset A of the set of real umbers R if it preserves statistically p-quasi-Cauchy sequences, i.e. the sequence f (x) = (f (alpha(n))) is statistically p-quasi-Cauchy whenever alpha = (alpha(n)) is a statistically p-quasi-Cauchy sequence of points in A. It turns out that a real valued function f is uniformly continuous on a bounded subset, A of R if there exists a positive integer p such that, f preserves statistically p-quasi-Cauchy sequences of points in A. | en_US |
| dc.identifier.doi | 10.5269/bspm.v38i3.39991 | |
| dc.identifier.endpage | 150 | en_US |
| dc.identifier.issn | 2175-1188 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-85064492981 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 141 | en_US |
| dc.identifier.uri | https://doi.prg/10.5269/bspm.v38i3.39991 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/2795 | |
| dc.identifier.volume | 38 | en_US |
| dc.identifier.wos | WOS:000486984500011 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Cakalli, Huseyin | |
| dc.language.iso | en | en_US |
| dc.publisher | SOC PARANAENSE MATEMATICA | en_US |
| dc.relation.ispartof | SOC PARANAENSE MATEMATICA | en_US |
| dc.relation.publicationcategory | Uluslararası Hakemli Dergide Makale - Kurum Öğretim Elemanı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY03428 | |
| dc.subject | SEQUENTIAL DEFINITIONS | en_US |
| dc.subject | SUMMABILITY FACTORS | en_US |
| dc.subject | CONTINUITY | en_US |
| dc.subject | EQUIVALENCE | en_US |
| dc.title | Variations on Statistical Quasi Cauchy Sequences | en_US |
| dc.type | Article | |
| dspace.entity.type | Publication |
