Some normed binomial difference sequence spaces related to the ℓ p $\ell_{p}$ spaces
Abstract The aim of this paper is to introduce the normed binomial sequence spaces b p r , 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 spaces ℓ p $\ell_...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-06-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1401-4 |