Polat H.Karakaya, VatanŞimşek, Necip2020-11-212020-11-2120110893-9659https://doi.org/10.1016/j.aml.2010.11.020https://hdl.handle.net/11467/3617In 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 ?-, ?- and ?-duals, and obtain bases for these sequence spaces. Finally, the necessary and sufficient conditions on an infinite matrix belonging to the classes (c(u,?,?):??) and (c(u, ?,?):c) are obtained. © 2011 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/openAccessAK and AD propertiesDifference sequence spaceGeneralized weighted meanMatrix mappingsThe ?-, ?- and ?-duals and bases of sequencesArticle245608614Q1WOS:000287564000005Q12-s2.0-7955146927710.1016/j.aml.2010.11.020