Forward continuity

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dc.authorid0000-0001-7344-5826en_US
dc.contributor.authorÇakalli H.
dc.date.accessioned2024-07-12T21:50:39Z
dc.date.available2024-07-12T21:50:39Z
dc.date.issued2011en_US
dc.departmentMaltepe Üniversitesien_US
dc.description.abstractA real function f is continuous if and only if (f(xn)) is a convergent sequence whenever (xn) is convergent and a subset E of R is compact if any sequence x = (xn) of points in E has a convergent subsequence whose limit is in E where R is the set of real numbers. These well known results suggest us to introduce a concept of forward continuity in the sense that a function f is forward continuous if limn›? ?f(xn) = 0 whenever limn›? ?xn = 0 and a concept of forward compactness in the sense that a subset E of R is forward compact if any sequence x = (xn) of points in E has a subsequence z = (zk) = (xnk) of the sequence x such that limk›? ?zk = 0 where ?zk = zk+1-zk. We investigate forward continuity and forward compactness, and prove related theorems. © 2011 by Eudoxus Press,LLC All rights reserved.en_US
dc.identifier.endpage230en_US
dc.identifier.issn1521-1398
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-79957565428en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage225en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/8177
dc.identifier.volume13en_US
dc.indekslendigikaynakScopus
dc.institutionauthorÇakalli H.
dc.language.isoenen_US
dc.relation.ispartofJournal of Computational Analysis and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKY01863
dc.subjectCompactnessen_US
dc.subjectContinuityen_US
dc.subjectSequencesen_US
dc.subjectSeriesen_US
dc.subjectSummabilityen_US
dc.titleForward continuityen_US
dc.typeArticle
dspace.entity.typePublication

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