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Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1873-x
Abstract: In this paper, we introduce the sequence spaces b0r,s(∇(α))$b^{r,s}_{0}( \nabla^{(\alpha)})$, bcr,s(∇(α))$b^{r,s}_{c}(\nabla^{(\alpha)})$, and b∞r,s(∇(α))$b^{r,s}_{\infty }(\nabla^{(\alpha)})$. We investigate some functional properties, inclusion relations, and the α-, β-, γ-, and continuous duals of these sets.
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Keywords:
binomial difference;
sequence spaces;
spaces fractional;
difference sequence ... See more keywords