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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.accessioned2026-06-27T13:15:26Z
dc.date.issued2011
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
dc.description.urihttps://doi.org/10.1016/j.aml.2010.11.020
dc.identifier.doi10.1016/j.aml.2010.11.020
dc.identifier.endpage614
dc.identifier.issn0893-9659
dc.identifier.issue5
dc.identifier.startpage608
dc.identifier.urihttps://hdl.handle.net/20.500.14981/51116
dc.identifier.volume24
dc.identifier.wos000287564000005
dc.language.isoeng
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.relation.ispartofAPPLIED MATHEMATICS LETTERS
dc.rightsopenAccess
dc.subjectDifference sequence space
dc.subjectGeneralized weighted mean
dc.subjectAK and AD properties
dc.subjectThe alpha-, beta- and gamma-duals and bases of sequences
dc.subjectMatrix mappings
dc.subjectMATRIX TRANSFORMATIONS
dc.subjectEULER
dc.subjectMathematics
dc.titleDifference sequence spaces derived by using a generalized weighted mean
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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