On double sequences of continuous functions having continuous p-limits ıı

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dc.authoridTR10766en_US
dc.contributor.authorPatterson, Richard F.
dc.contributor.authorSavaş, Ekrem
dc.date.accessioned2015-09-09T12:50:49Z
dc.date.available2015-09-09T12:50:49Z
dc.date.issued2013en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractThe goal of this paper is to relax the conditions of the following theorem: Let A be a compact closed set; let the double sequence of function s(1,1)(x), s(1,2)(x) s(1,3)(x) ... s(2,1)(x), s(2,2)(x) s(2,3)(x) ... s(3,1)(x), s(3,2)(x) s(3,3)(x) ... have the following properties: 1. for each (m, n) s(m,n)(x) is continuous in A; 2. for each x in A we have P - lim(m,n) s(m,n)(x) = s(x); 3. s(x) is continuous in A; 4. there exists M such that for all (m, n) and all x in A vertical bar s(m,n)(x)vertical bar <= M. Then there exists a T - transformation such that P - lim(m,n) sigma(m,n)(x) = s(x) uniformly in A and to that end we obtain the following. In order that the transformation be such that P - lim(s -> s0(S);t -> t0(T)) sigma(s;t;x) = 0 uniformly with respect x for every double sequence of continuous functions (s(m,n)(x)) define over A such that s(m,n)(x) is bounded over A and for all (m, n) and P - lim(m,n) s(m,n)(x) = 0 over A it is necessary and sufficient that P- lim(s -> s0(S);t -> t0(T)) Sigma(infinity,infinity)(k,l=1,1) vertical bar a(k,l)(s, t)vertical bar = 0en_US
dc.identifier.endpage935en_US
dc.identifier.issn1029-242X
dc.identifier.issue5
dc.identifier.scopus2-s2.0-84880175260en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage931en_US
dc.identifier.urihttps://hdl.handle.net/11467/1141
dc.identifier.urihttp://dx.doi.org/10.2298/FIL1305931P
dc.identifier.volume27en_US
dc.identifier.wosWOS:000322038400022en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Nisen_US
dc.relation.ispartoffilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectRH-Regularen_US
dc.subjectDouble Sequences
dc.subjectPringsheim Limit Point
dc.subjectP-Convergent
dc.titleOn double sequences of continuous functions having continuous p-limits ııen_US
dc.typeArticleen_US

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