A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β.

In the present paper, we defined lacunary sequence spaces of fractional difference operator of order α , β over n -normed spaces via Musielak-Orlicz function M = I k . Our aim in this paper is to study some topological properties and inclusion relation between the spaces I − N α β A , M , u , θ , Δ γ , · , ⋯ , · 0 , I − N α β A , M , u , θ , Δ γ , · , ⋯ , · , and I − N α β A , M , u , θ , Δ γ , · , ⋯ , · ∞ . [ABSTRACT FROM AUTHOR]