| Abstrakt: |
In this paper, the spaces l 1 (Δ i 3) and b v (Δ i 3) are introduced as the domain of generalized difference operator Δ i 3 of order three in the sequence spaces ℓ1 and bv. Then, some topological properties of l 1 (Δ i 3) and b v (Δ i 3) are given, and some inclusion relations are shown. Additionally, α−, β− and γ− dual spaces of l 1 (Δ i 3) and b v (Δ i 3) are computed. In the last section, the classes (μ (Δ i 3) : λ) and (λ : μ (Δ i 3)) of matrix transformations are characterized where μ = {ℓ1, bv} and λ is any classical sequence space. [ABSTRACT FROM AUTHOR] |
