A VARIATION ON LACUNARY STATISTICAL QUASI CAUCHY SEQUENCES

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dc.authorid0000-0001-7344-5826en_US
dc.contributor.authorCakalli, Huseyin
dc.contributor.authorKaplan, Huseyin
dc.date.accessioned2024-07-12T21:46:02Z
dc.date.available2024-07-12T21:46:02Z
dc.date.issued2017en_US
dc.departmentMaltepe Üniversitesien_US
dc.description.abstractIn this paper, the concept of a lacunary statistically delta-quasi-Cauchy sequence is investigated. In this investigation, we proved interesting theorems related to lacunary statistically delta-ward continuity, and some other kinds of continuities. A real valued function f defined on a subset A of R, the set of real numbers, is called lacunary statistically S ward continuous on A if it preserves lacunary statistically delta quasi-Cauchy sequences of points in A, i.e. (f (alpha(k))) is a lacunary statistically delta quasi-Cauchy sequence whenever (alpha(k)) is a lacunary statistically delta quasi-Cauchy sequence of points in A, where a sequence (alpha(k)) is called lacunary statistically delta quasi-Cauchy if (Delta alpha(k)) is a lacunary statistically quasi-Cauchy sequence. It turns out that the set of lacunary statistically delta ward continuous functions is a closed subset of the set of continuous functions.en_US
dc.identifier.doi10.1501/Commua1_0000000802
dc.identifier.endpage79en_US
dc.identifier.issn1303-5991
dc.identifier.issue2en_US
dc.identifier.startpage71en_US
dc.identifier.urihttps://dx.doi.org/10.1501/Commua1_0000000802
dc.identifier.urihttps://hdl.handle.net/20.500.12415/7867
dc.identifier.volume66en_US
dc.identifier.wosWOS:000407117100007en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Science
dc.language.isoenen_US
dc.publisherANKARA UNIV, FAC SCIen_US
dc.relation.ispartofCOMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKY00549
dc.subjectLacunary statistical convergenceen_US
dc.subjectquasi-Cauchy sequencesen_US
dc.subjectcontinuityen_US
dc.titleA VARIATION ON LACUNARY STATISTICAL QUASI CAUCHY SEQUENCESen_US
dc.typeArticle
dspace.entity.typePublication

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