A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α, β. (15th March 2022)

• Record Type: Journal Article
• Authors: Cai, Qing-Bo; Sharma, Sunil K.; Ayman Mursaleen, Mohammad
• Other Names: isik Mahmut Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-03-15
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/2779479
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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, ·, ⋯, · ∞ .