On Some Binomial Difference Sequence Spaces
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The aim of this paper is to introduce the binomial sequence spaces $b^{r,s}_{0}(\nabla)$, $b^{r,s}_{c}(\nabla)$ and $b^{r,s}_{\infty}(\nabla)$ by combining the binomial transformation and difference operator. We prove that these spaces are linearly isomorphic to the spaces $c_{0}$, $c$ and $\ell_{\infty}$, respectively. Furthermore, we compute theSchauder bases and the $\alpha$-, $\beta$- and $\gamma$-duals of these sequence spaces.
Abstract
The aim of this paper is to introduce the binomial sequence spaces $b^{r,s}_{0}(\nabla)$, $b^{r,s}_{c}(\nabla)$ and $b^{r,s}_{\infty}(\nabla)$ by combining the binomial transformation and difference operator. We prove that these spaces are linearly isomorphic to the spaces $c_{0}$, $c$ and $\ell_{\infty}$, respectively. Furthermore, we compute theSchauder bases and the $\alpha$-, $\beta$- and $\gamma$-duals of these sequence spaces.
참고문헌 (17)
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