On Some New Generalized Difference Sequence Spaces and Their Topological Properties

In this study, we define a new triangle matrix Ĝ ={g ^uv nk (r, s, t)} which derived by using multiplication of weightedmean matrix G = (gnk ) with triple band matrix B(r, s, t) . Also, we examine some topological properties of this new sequencespaces such as Schauder basis, isomorphism and α−, β − γ− du-als . Finally, we characterize the classes (µ1 ^uv (Ĝ) : µ2) of infinitematrices , where µ1 ∈ {c, c0, lp} and µ2 ∈ {l∞, c, c0, lp}.