?-quasi-Cauchy sequences

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dc.authorid0000-0001-7344-5826en_US
dc.contributor.authorÇakallı, Hüseyin
dc.date.accessioned2024-07-12T20:56:17Z
dc.date.available2024-07-12T20:56:17Z
dc.date.issued2011en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractRecently, it has been proved that a real-valued function defined on a subset E of R, the set of real numbers, is uniformly continuous on E if and only if it is defined on E and preserves quasi-Cauchy sequences of points in E where a sequence is called quasi-Cauchy if (?xn) is a null sequence. In this paper we call a real-valued function defined on a subset E of R?-ward continuous if it preserves ?-quasi-Cauchy sequences where a sequence x=(xn) is defined to be ?-quasi-Cauchy if the sequence (?xn) is quasi-Cauchy. It turns out that ?-ward continuity implies uniform continuity, but there are uniformly continuous functions which are not ?-ward continuous. A new type of compactness in terms of ?-quasi-Cauchy sequences, namely ?-ward compactness is also introduced, and some theorems related to ?-ward continuity and ?-ward compactness are obtained.en_US
dc.identifier.citationÇakallı, H. (2011). ?-quasi-Cauchy sequences. Mathematical and Computer Modelling. 53(1-2), 397-401.en_US
dc.identifier.doi10.1016/j.mcm.2010.09.010
dc.identifier.endpage401en_US
dc.identifier.issue1.Şuben_US
dc.identifier.scopus2-s2.0-77958511660en_US
dc.identifier.startpage397en_US
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0895717710004413?via%3Dihub
dc.identifier.urihttps://doi.prg/10.1016/j.mcm.2010.09.010
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2960
dc.identifier.volume53en_US
dc.identifier.wosWOS:000284659800035en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÇakallı, Hüseyin
dc.language.isoenen_US
dc.publisherScienceDirecten_US
dc.relation.ispartofMathematical and Computer Modellingen_US
dc.relation.publicationcategoryUluslararası Editör Denetimli Dergide Makaleen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKY08943
dc.subjectReal functionsen_US
dc.subjectContinuityen_US
dc.subjectSequencesen_US
dc.title?-quasi-Cauchy sequencesen_US
dc.typeLetter
dspace.entity.typePublication

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