In this paper, we introduce the sequence spaces b0r,s(∇(α))$b^{r,s}_{0}( \nabla^{(\alpha)})$, bcr,s(∇(α))$b^{r,s}_{c}(\nabla^{(\alpha)})$, and b∞r,s(∇(α))$b^{r,s}_{\infty }(\nabla^{(\alpha)})$. We investigate some functional properties, inclusion relations, and the α-, β-, γ-, and continuous duals of… Click to show full abstract
In this paper, we introduce the sequence spaces b0r,s(∇(α))$b^{r,s}_{0}( \nabla^{(\alpha)})$, bcr,s(∇(α))$b^{r,s}_{c}(\nabla^{(\alpha)})$, and b∞r,s(∇(α))$b^{r,s}_{\infty }(\nabla^{(\alpha)})$. We investigate some functional properties, inclusion relations, and the α-, β-, γ-, and continuous duals of these sets.
               
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