Some normed binomial difference sequence spaces related to the ℓp$\ell_{p}$ spaces
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DOI: 10.1186/s13660-017-1401-4
Abstract: The aim of this paper is to introduce the normed binomial sequence spaces bpr,s(∇)$b^{r,s}_{p}(\nabla)$ by combining the binomial transformation and difference operator, where 1≤p≤∞$1\leq p\leq\infty$. We prove that these spaces are linearly isomorphic to the… read more here.
Keywords: binomial difference; sequence spaces; difference sequence; normed binomial ... See more keywords
Binomial difference sequence spaces of fractional order
Sign Up to like & getrecommendations! 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. read more here.
Keywords: binomial difference; sequence spaces; spaces fractional; difference sequence ... See more keywords