Matrix transformations on some sequence spaces related to strong Cesaro summability and boundedness

dc.authoridALTAY, BİLAL/0000-0002-2400-7122
dc.authorwosidBaşar, Feyzi/X-4419-2019
dc.authorwosidALTAY, BİLAL/ABG-9578-2020
dc.contributor.authorAltay, Bilal
dc.contributor.authorBasar, Feyzi
dc.contributor.authorMalkowsky, Eberhard
dc.date.accessioned2024-08-04T20:31:11Z
dc.date.available2024-08-04T20:31:11Z
dc.date.issued2009
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe spaces a(0)(r)(Delta), a(c)(r)(Delta) and a(infinity)(r)(Delta) introduced by Aydin and Basar [ C. Aydin, F. Basar, Some new difference sequence spaces, Appl. Math. Comput. 157 (3) (2004) 677-693] can be considered as the matrix domains of a triangle in the sets of all sequences that are summable to zero, summable, and bounded by the Cesaro method of order 1. Here we de. ne the sets of sequences which are the matrix domains of that triangle in the sets of all sequences that are summable, summable to zero, or bounded by the strong Cesaro method of order 1 with index p >= 1. We determine the beta-duals of the new spaces and characterize matrix transformations on them into the sets of bounded, convergent and null sequences. (c) 2009 Elsevier Inc. All rights reserved.en_US
dc.description.sponsorshipSerbian Ministry of Science, Technology and Environment [144003]en_US
dc.description.sponsorshipThe second and third authors wish to express their thanks to TUBITAK for supplying the financial support by BIDEB Programme during the preparation of the present work, in the period 02-23 July 2007. Work of the third author supported by the research Project #144003 of the Serbian Ministry of Science, Technology and Environment.en_US
dc.identifier.doi10.1016/j.amc.2009.01.062
dc.identifier.endpage264en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-64949154016en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage255en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2009.01.062
dc.identifier.urihttps://hdl.handle.net/11616/94788
dc.identifier.volume211en_US
dc.identifier.wosWOS:000265783700001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMatrix domain in a sequence spaceen_US
dc.subjectbeta-Dualsen_US
dc.subjectMatrix transformationsen_US
dc.titleMatrix transformations on some sequence spaces related to strong Cesaro summability and boundednessen_US
dc.typeArticleen_US

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