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Paranormed Riesz Difference Sequence Spaces of Fractional Order

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Abstract & Overview

In this article we introduce paranormed Riesz difference sequence spaces of fractional order α, r t 0 p, ∆ (α) , r t c p, ∆ (α) and r t ∞ p, ∆ (α) defined by the composition of fractional difference operator ∆ (α) , defined by (∆i!Γ(α-i+1) x k-i , and Riesz mean matrix R t .We give some topological properties, obtain the Schauder basis and determine the α-, β-and γ-duals of the new spaces.Finally, we characterize certain matrix classes related to these new spaces.

Cite this record

Taja Yaying (2022). Paranormed Riesz Difference Sequence Spaces of Fractional Order. Kragujevac Journal of Mathematics, 46(2), 175–191. https://doi.org/10.46793/kgjmat2202.175y

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Yaying, T. (2022). Paranormed Riesz Difference Sequence Spaces of Fractional Order. Kragujevac Journal of Mathematics, 46(2), 175–191. https://doi.org/10.46793/kgjmat2202.175y
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