A variation on lacunary quasi Cauchy sequences

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dc.authorid0000-0001-8292-7819en_US
dc.authorid0000-0001-7344-5826en_US
dc.contributor.authorCakalli, Huseyin
dc.contributor.authorEt, Mikail
dc.contributor.authorSengul, Hacer
dc.contributor.editorAshyralyev, A; Lukashov, A
dc.date.accessioned2024-07-12T21:59:34Z
dc.date.available2024-07-12T21:59:34Z
dc.date.issued2016en_US
dc.departmentMaltepe Üniversitesi, Rektörlüken_US
dc.description3rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty, KAZAKHSTANen_US
dc.description.abstractIn the present paper, we introduce a concept of ideal lacunary statistical quasi-Cauchy sequence of order alpha of real numbers in the sense that a sequence (x(k)) of points in R is called I lacunary statistically quasi-Cauchy of order alpha, if {r is an element of N : 1/h(r)(a) vertical bar Delta x(k)vertical bar >= epsilon vertical bar >= epsilon vertical bar >= delta}is an element of I for each epsilon > 0 and for each delta > 0, where an ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. The main purpose of this paper is to investigate ideal lacunary statistical ward continuity of order alpha, where a function f is called I lacunary statistically ward continuous of order alpha if it preserves I-lacunary statistically quasi-Cauchy sequences of order alpha, i.e. (f(x(n))) is a s(theta)(alpha)(I)-quasi-Cauchy sequence whenever (x(n)) is.en_US
dc.description.sponsorshipInst Math & Math Modeling, Al Farabi Kazakh Natl Univ, L N Gumilyov Eurasian Natl Univen_US
dc.identifier.doi10.1063/1.4959670
dc.identifier.isbn978-0-7354-1417-4
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85000365344en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://dx.doi.org/10.1063/1.4959670
dc.identifier.urihttps://hdl.handle.net/20.500.12415/8960
dc.identifier.volume1759en_US
dc.identifier.wosWOS:000383223000053en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherAMER INST PHYSICSen_US
dc.relation.ispartofINTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016)en_US
dc.relation.isversionofAIP Conference Proceedingsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKY06006
dc.subjectSequencesen_US
dc.subjectIdeal convergenceen_US
dc.subjectCompactnessen_US
dc.subjectContinuityen_US
dc.titleA variation on lacunary quasi Cauchy sequencesen_US
dc.typeConference Object
dspace.entity.typePublication

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