Asymptotically J-Lacunary statistical equivalent of order alpha for sequences of sets

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dc.contributor.authorSavaş, Ekrem
dc.date.accessioned2020-11-21T15:55:53Z
dc.date.available2020-11-21T15:55:53Z
dc.date.issued2017en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractThis paper presents the following definition which is a natural combination of the definition for asymptotically equivalent of order alpha, where 0 < alpha <= 1, I-statistically limit, and I-lacunary statistical convergence for sequences of sets. Let (X, rho) be a metric space and theta be a lacunary sequence. For any non-empty closed subsets A(k), B-k subset of X such that d(x, A(k)) > 0 and d(x, B-k) > 0 for each x is an element of X, we say that the sequences {A(k)} and {B-k} are Wijsman asymptotically I-lacunary statistical equivalent of order alpha to multiple L, where 0 < alpha <= 1, provided that for each epsilon > 0 and each x is an element of X, {r is an element of N : 1/h(r)(alpha)|{k is an element of I-r : |d(x; A(k),B-k)- L| >= (sic) }| >= delta} is an element of I, (denoted by {A(k)} (s theta L(Iw)alpha) similar to {B-k}) and simply asymptotically I-lacunary statistical equivalent of order alpha if L = 1. In addition, we shall also present some inclusion theorems. The study leaves some interesting open problems. (C) 2017 All rights reserved.en_US
dc.identifier.doi10.22436/jnsa.010.06.01en_US
dc.identifier.endpage2867en_US
dc.identifier.issn2008-1898
dc.identifier.issn2008-1901
dc.identifier.issue6en_US
dc.identifier.startpage2860en_US
dc.identifier.urihttps://doi.org/10.22436/jnsa.010.06.01
dc.identifier.urihttps://hdl.handle.net/11467/4064
dc.identifier.volume10en_US
dc.identifier.wosWOS:000407577300001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherInt Scientific Research Publicationsen_US
dc.relation.ispartofJournal of Nonlinear Sciences and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAsymptotical equivalenten_US
dc.subjectsequences of setsen_US
dc.subjectideal convergenceen_US
dc.subjectWijsman convergenceen_US
dc.subjectI-statistical convergenceen_US
dc.subjectI-lacunary statistical convergenceen_US
dc.subjectstatistical convergence of order alphaen_US
dc.titleAsymptotically J-Lacunary statistical equivalent of order alpha for sequences of setsen_US
dc.typeArticleen_US

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