On lambda Statistical Upward Compactness and Continuity

dc.authorid0000-0001-7344-5826en_US
dc.contributor.authorCakalli, Huseyin
dc.date.accessioned2024-07-12T21:47:01Z
dc.date.available2024-07-12T21:47:01Z
dc.date.issued2018en_US
dc.departmentMaltepe Üniversitesien_US
dc.description.abstractA sequence (alpha(k)) of real numbers is called lambda-statistically upward quasi-Cauchy if for every epsilon > 0 lim(n ->infinity)1/lambda(n)vertical bar{K is an element of I-n : alpha(k) - alpha(k+1) >= epsilon}vertical bar = 0, where (lambda(n)) is a non decreasing sequence of positive numbers tending to infinity such that lambda(n+1) <= lambda(n) + 1, lambda(1) = 1, and I-n = [n - lambda(n) + 1,n] for any positive integer n. A real valued function f defined on a subset of R, the set of real numbers is lambda-statistically upward continuous if it preserves lambda-statistical upward quasi-Cauchy sequences. lambda-statistically upward compactness of a subset in real numbers is also introduced and some properties of functions preserving such quasi Cauchy sequences are investigated. It turns out that a function is uniformly continuous if it is A-statistical upward continuous on a lambda-statistical upward compact subset of R.en_US
dc.identifier.doi10.2298/FIL1812435C
dc.identifier.endpage4443en_US
dc.identifier.issn0354-5180
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85061455176en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage4435en_US
dc.identifier.urihttps://dx.doi.org/10.2298/FIL1812435C
dc.identifier.urihttps://hdl.handle.net/20.500.12415/7990
dc.identifier.volume32en_US
dc.identifier.wosWOS:000461182200028en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorCakalli, Huseyin
dc.language.isoenen_US
dc.publisherUNIV NIS, FAC SCI MATHen_US
dc.relation.ispartofFILOMATen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKY01033
dc.subjectSequencesen_US
dc.subjectstatistical convergenceen_US
dc.subjectquasi-Cauchy sequencesen_US
dc.subjectcontinuityen_US
dc.titleOn lambda Statistical Upward Compactness and Continuityen_US
dc.typeArticle
dspace.entity.typePublication

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