A note on paranormed difference sequence spaces of fractional order and their matrix transformations
In the present paper, new classes of difference sequence spaces X(Γ, Δα, u, p) for X ∈ {ℓ∞, c, c0} are introduced by using the fractional difference operator Δα, defined by Δα(xk)=∑i=0∞(-1)iΓ(α+1)i!Γ(α-i+1)xk+i, where (un) is a sequence satisfying certain conditions and α is a proper fraction. In fa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2014-07-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13000874 |