Binomial difference sequence spaces of fractional order

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 contin...

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Bibliographic Details
Main Authors: Jian Meng, Liquan Mei
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1873-x