On some λ difference sequence spaces of fractional order

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• 作者：Hasan Furkan ; ^{hasanfurkan@hotmail.com} ; ^{hasanfurkan@ksu.edu.tr} ; ^{hasanfurkan@gmail.com}
• 关键词：λ Sequence spaces ; Fractional difference operator Δ(α&tilde ; ) and Δ(&minus ; α&tilde ; ) ; Schauder basis ; α- ; β- And γ-duals ; Matrix transformations
• 刊名：Journal of the Egyptian Mathematical Society
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：25
• 期：1
• 页码：37-42
• 全文大小：367 K
• 卷排序：25

文摘

In the present paper, the difference sequence spaces cs0λ(Δ),csλ(Δ) and bsλ(Δ) of nonabsolute type are generalized by introducing a generalized Λ   difference operator Λ(Δ(α˜)). Also, their Schauder basis are calculated and α-, β- and γ-duals of these spaces are investigated. Finally, some matrix transformations between these spaces and the basic sequence spaces ℓ_{p, c and c0 are characterized, where 1 ≤ p ≤ ∞.}