On a Generalized Difference Sequence Spaces of Fractional Order associated with Multiplier Sequence Defined by A Modulus Function

Let Γ(m) denotes the gamma function of a real number m∉{0,-1,-2,…}. Then the difference matrix Δ^α of a fractional order α is defined as (Δ^α v)_k=∑_i〖(-1)^i (Γ(α+1))/(i!Γ(α-i+1)) v_(k+i) 〗.Using the difference operator Δ^α, we introduce paranormed difference sequence spaces N_θ (Δ^α,f,Λ,p) and S_θ...

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Bibliographic Details
Main Author: Taja Yayıng
Format: Article
Language:English
Published: Sakarya University 2020-10-01
Series:Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
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Online Access:https://dergipark.org.tr/tr/download/article-file/1125142
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