Regularity characterization of asymptotically probability equivalent sequences

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dc.contributor.authorPatterson, Richard F.
dc.contributor.authorSavaş, Ekrem
dc.date.accessioned2020-11-21T15:53:33Z
dc.date.available2020-11-21T15:53:33Z
dc.date.issued2009en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractThe notion of asymptotically equivalent sequences was presented by Pobyvanets in 1980. Using this definition, he presented Silverman-Toeplitz-type matrix conditions that ensure that a summability matrix preserves asymptotic equivalency. This work begins with an extension of Pobyvanets' definition of convergence in probability. This definition is also used to present Silverman-Toeplitz-type conditions for ensuring that a summability matrix preserves asymptotic probability equivalence. In addition, we shall also present a Marouf-type characterization of such a sequence space. © 2009 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.aml.2009.01.057en_US
dc.identifier.endpage1495en_US
dc.identifier.issn0893-9659
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-68349123658en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1491en_US
dc.identifier.urihttps://doi.org/10.1016/j.aml.2009.01.057
dc.identifier.urihttps://hdl.handle.net/11467/3622
dc.identifier.volume22en_US
dc.identifier.wosWOS:000270057200002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofApplied Mathematics Lettersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAsymptoticallyen_US
dc.subjectEquivalent sequencesen_US
dc.subjectRegular matrixen_US
dc.titleRegularity characterization of asymptotically probability equivalent sequencesen_US
dc.typeArticleen_US

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