Statistical ward continuity
| dc.authorid | 0000-0001-7344-5826 | en_US |
| dc.contributor.author | Cakalli, Huseyin | |
| dc.date.accessioned | 2024-07-12T21:45:03Z | |
| dc.date.available | 2024-07-12T21:45:03Z | |
| dc.date.issued | 2011 | en_US |
| dc.department | Maltepe Üniversitesi | en_US |
| dc.description.abstract | Recently, it has been proved that a real-valued function defined on an interval A of R, the set of real numbers, is uniformly continuous on A if and only if it is defined on A and preserves quasi-Cauchy sequences of points in A. In this paper we call a real-valued function statistically ward continuous if it preserves statistical quasi-Cauchy sequences where a sequence (alpha(k)) is defined to be statistically quasi-Cauchy if the sequence (Delta alpha(k)) is statistically convergent to 0. It turns out that any statistically ward continuous function on a statistically ward compact subset A of R is uniformly continuous on A. We prove theorems related to statistical ward compactness, statistical compactness, continuity, statistical continuity, ward continuity, and uniform continuity. (C) 2011 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.aml.2011.04.029 | |
| dc.identifier.endpage | 1728 | en_US |
| dc.identifier.issn | 0893-9659 | |
| dc.identifier.issue | 10 | en_US |
| dc.identifier.scopus | 2-s2.0-79957567410 | en_US |
| dc.identifier.scopusquality | Q1 | en_US |
| dc.identifier.startpage | 1724 | en_US |
| dc.identifier.uri | https://dx.doi.org/10.1016/j.aml.2011.04.029 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/7784 | |
| dc.identifier.volume | 24 | en_US |
| dc.identifier.wos | WOS:000291912300019 | en_US |
| dc.identifier.wosquality | Q1 | en_US |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Cakalli, Huseyin | |
| dc.language.iso | en | en_US |
| dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | en_US |
| dc.relation.ispartof | APPLIED MATHEMATICS LETTERS | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.snmz | KY00302 | |
| dc.subject | Summability | en_US |
| dc.subject | Statistical convergent sequences | en_US |
| dc.subject | Quasi-Cauchy sequences | en_US |
| dc.subject | Boundedness | en_US |
| dc.subject | Uniform continuity | en_US |
| dc.title | Statistical ward continuity | en_US |
| dc.type | Article | |
| dspace.entity.type | Publication |
