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Volume 9, Number 1, 2019, Pages 231-244                                                                DOI:10.11948/2019.231
Some new sequence spaces derived by The composition of binomial matrix and double band matrix
Abdulcabbar Sonmez
Keywords:Matrix transformations, matrix domain, schauder basis, $\alpha-$, $\beta-$ and $\gamma-$duals, matrix classes.
Abstract:
      In this paper, we construct three new sequence spaces $b^{{r,s}}_{0}(G)$, $b^{{r,s}}_{c}(G)$ and $b^{{r,s}}_{\infty}(G)$ and mention some inclusion relations, where $G$ is generalized difference matrix. Moreover, we give Schauder basis of the spaces $b^{{r,s}}_{0}(G)$ and $b^{{r,s}}_{c}(G)$. Afterward, we determine $\alpha-$, $\beta-$ and $\gamma-$duals of those spaces. Finally, we characterize some matrix classes related to the space $b^{{r,s}}_{c}(G)$.
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