Ideal statistically quasi Cauchy sequences

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dc.authorid0000-0001-7344-5826en_US
dc.contributor.authorSavas, Ekrem
dc.contributor.authorCakalli, Huseyin
dc.contributor.editorAshyralyev, A; Lukashov, A
dc.date.accessioned2024-07-12T21:59:35Z
dc.date.available2024-07-12T21:59:35Z
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.abstractAn ideal I is a family of subsets of N, the set of positive integers which is closed under taking finite unions and subsets of its elements. A sequence (x(k)) of real numbers is said to be S(I)-statistically convergent to a real number L, if for each epsilon > 0 and for each delta > 0 the set {n is an element of N: 1/n {k <= n: vertical bar x(k) - L vertical bar >= epsilon}vertical bar >= delta} belongs to I. We introduce S(I)-statistically ward compactness of a subset of R, the set of real numbers, and S(I)-statistically ward continuity of a real function in the senses that a subset E of R is S(I)-statistically ward compact if any sequence of points in E has an S(I)-statistically quasi Cauchy subsequence, and a real function is S(I)-statistically ward continuous if it preserves S(I)-statistically quasi-Cauchy sequences where a sequence (x(k)) is called to be S(I)-statistically quasi-Cauchy when (Delta x(k)) is S(I)-statistically convergent to 0. We obtain results related to S(I)-statistically ward continuity, S(I)-statistically ward compactness, N-theta-ward continuity, and slowly oscillating continuity.en_US
dc.description.sponsorshipInst Math & Math Modeling, Al Farabi Kazakh Natl Univ, L N Gumilyov Eurasian Natl Univen_US
dc.identifier.doi10.1063/1.4959671
dc.identifier.isbn978-0-7354-1417-4
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85000774266en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://dx.doi.org/10.1063/1.4959671
dc.identifier.urihttps://hdl.handle.net/20.500.12415/8961
dc.identifier.volume1759en_US
dc.identifier.wosWOS:000383223000054en_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.snmzKY06007
dc.subjectSequencesen_US
dc.subjectIdeal convergenceen_US
dc.subjectCompactnessen_US
dc.subjectContinuityen_US
dc.titleIdeal statistically quasi Cauchy sequencesen_US
dc.typeConference Object
dspace.entity.typePublication

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