Variations on strongly lacunary quasi Cauchy sequences

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dc.authorid0000-0001-7344-5826en_US
dc.contributor.authorKaplan, Huseyin
dc.contributor.authorCakalli, Huseyin
dc.contributor.editorAshyralyev, A; Lukashov, A
dc.date.accessioned2024-07-12T21:59:33Z
dc.date.available2024-07-12T21:59:33Z
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.abstractWe introduce a new function space, namely the space of N-theta(p)-ward continuous functions, which turns out to be a closed subspace of the space of continuous functions for each positive integer p. N-theta(alpha)(p)-ward continuity is also introduced and investigated for any fixed 0 < a <= 1, and for any fixed positive integer p. A real valued function f defined on a subset A of R, the set of real numbers is N-theta(alpha)(p)-ward continuous if it preserves N-theta(alpha)(p)-quasi-Cauchy sequences, i.e. (f(x(n))) is an N-theta(alpha)(p)-quasi--Cauchy sequence whenever (x(n)) is N-theta(alpha)(p)-quasi-Cauchy sequence of points in A, where a sequence (x(k)) of points in R is called N-theta(alpha)(p)-quasi-Cauchy if [GRAPHICS] 1/h(r)(alpha) [GRAPHICS] vertical bar Delta x(k)vertical bar(p) - 0, where Delta x(k) = x(k+1) - x(k) for each positive integer k, p is a fixed positive integer, alpha is fixed in ]0, 1], I-r = (k(r-1), k(r)], and theta = (k(r)) is a lacunary sequence, i.e. an increasing sequence of positive integers such that k(0) not equal 0, and h(r) : k(r) - k(r-1) -> infinity.en_US
dc.description.sponsorshipInst Math & Math Modeling, Al Farabi Kazakh Natl Univ, L N Gumilyov Eurasian Natl Univen_US
dc.identifier.doi10.1063/1.4959665
dc.identifier.isbn978-0-7354-1417-4
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85000613520en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://dx.doi.org/10.1063/1.4959665
dc.identifier.urihttps://hdl.handle.net/20.500.12415/8959
dc.identifier.volume1759en_US
dc.identifier.wosWOS:000383223000048en_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.snmzKY06005
dc.subjectStrongly lacunary convergenceen_US
dc.subjectQuasi-Cauchy sequencesen_US
dc.subjectContinuityen_US
dc.titleVariations on strongly lacunary quasi Cauchy sequencesen_US
dc.typeConference Object
dspace.entity.typePublication

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