Difference sequence spaces derived by using a generalized weighted mean

In 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 α-, β- and γ-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,Δ):ℓ∞) and (c(u,v,Δ):c) are obtained.