Difference sequence spaces derived by using a generalized weighted mean

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dc.contributor.authorPolat, Harun
dc.contributor.authorKarakaya, Vatan
dc.contributor.authorSimsek, Necip
dc.date.accessioned2020-01-29T18:52:13Z
dc.date.available2020-01-29T18:52:13Z
dc.date.issued2011
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this work, we define new sequence spaces by combining a generalized weighted mean and a difference operator. Afterward, we investigate topological structures, which have completeness, AK-property, and AD-property. Also, we compute the alpha-, beta- and gamma-duals, and obtain bases for these sequence spaces. Finally, the necessary and sufficient conditions on an infinite matrix belonging to the classes (c (u, v, Delta) : l(infinity)) and (c (u, v, Delta) : c) are obtained. (C) 2010 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.aml.2010.11.020
dc.identifier.endpage614en_US
dc.identifier.issn0893-9659
dc.identifier.issue5en_US
dc.identifier.startpage608en_US
dc.identifier.urihttps://dx.doi.org/10.1016/j.aml.2010.11.020
dc.identifier.urihttps://hdl.handle.net/20.500.12639/947
dc.identifier.volume24en_US
dc.identifier.wosWOS:000287564000005
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherPERGAMON-ELSEVIER SCIENCE LTDen_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.subjectDifference sequence spaceen_US
dc.subjectGeneralized weighted meanen_US
dc.subjectAK and AD propertiesen_US
dc.subjectThe alpha-, beta- and gamma-duals and bases of sequencesen_US
dc.subjectMatrix mappingsen_US
dc.titleDifference sequence spaces derived by using a generalized weighted meanen_US
dc.typeArticle

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