Doublesequence transformations that guarantee a given rate of p-convergence

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dc.authorid0000-0003-2135-3094en_US
dc.contributor.authorPatterson, Richard F.
dc.contributor.authorSavaş, Ekrem
dc.date.accessioned2015-09-11T13:37:42Z
dc.date.available2015-09-11T13:37:42Z
dc.date.issued2011en_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper the following sequence space is presented. Let [t] be a positive double sequence and define the sequence space Omega '' (t) = {complex sequences x : x(k,l) = O(t(k,l))}. The set of geometrically dominated double sequences is defined as G ''-U(r,s is an element of(0,1))G(r,s) where G (r,s) - {complex sequences x : x(k,l) = O(r(k)s(l))} for each r,s in the interval (0, 1). Using this definition, four dimensional matrix characterizations of l(infinity,infinity), c '', and c(0)'' into G '' and into Omega ''(t) are presented. In addition to these definitions and characterizations it should be noted that this ensure a rate of converges of at least as fast as [t]. Other natural implications will also be presented.en_US
dc.identifier.citationPatterson, R., & Savaş, E. (2011). Double Sequence Transformations That Guarantee A Given Rate Of P-Convergence. Filomat, 25(2), 129–135.
dc.identifier.doi10.2298/FIL1102129P
dc.identifier.endpage135en_US
dc.identifier.issn0354-5180
dc.identifier.issue2
dc.identifier.scopus2-s2.0-79960760085
dc.identifier.scopusqualityQ3
dc.identifier.startpage129en_US
dc.identifier.urihttps://hdl.handle.net/11467/1172
dc.identifier.urihttps://doi.org/10.2298/FIL1102129P
dc.identifier.volume25en_US
dc.identifier.wosWOS:000288756300011en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Nisen_US
dc.relation.ispartofFaculty of Sciences and Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDouble Sequencesen_US
dc.subjectGeometrically Dominated Double Sequences
dc.subjectPringsheim Convergent
dc.subjectRate Of Convergence
dc.titleDoublesequence transformations that guarantee a given rate of p-convergenceen_US
dc.typeArticleen_US

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