A VARIATION ON LACUNARY STATISTICAL QUASI CAUCHY SEQUENCES

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dc.authorid0000-0001-7344-5826
dc.contributor.authorCakalli, Huseyin
dc.contributor.authorKaplan, Huseyin
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2017
dc.departmentNiğde ÖHÜ
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.
dc.identifier.doi10.1501/Commua1_0000000802
dc.identifier.endpage79
dc.identifier.issn1303-5991
dc.identifier.issue2
dc.identifier.startpage71
dc.identifier.urihttps://dx.doi.org/10.1501/Commua1_0000000802
dc.identifier.urihttps://hdl.handle.net/11480/3526
dc.identifier.volume66
dc.identifier.wosWOS:000407117100007
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherANKARA UNIV, FAC SCI
dc.relation.ispartofCOMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectLacunary statistical convergence
dc.subjectquasi-Cauchy sequences
dc.subjectcontinuity
dc.titleA VARIATION ON LACUNARY STATISTICAL QUASI CAUCHY SEQUENCES
dc.typeArticle

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