Turkish Journal of Mathematics
Abstract
In this paper, we introduce the fibonomial sequence spaces $b_{p}^{r,s,F}$ and $b_{\infty}^{r,s,F},$ and show that these are BK-spaces. Also, we prove that these new spaces are linearly isomorphic to $\ell_{p}$ and $\ell_{\infty}.$ Moreover, we determine the $\alpha$-, $\beta$-, $\gamma$-duals for these new spaces and characterize some matrix classes. The final section is devoted to the investigation of some geometric properties of the newly defined space $b_{p}^{r,s,F}.$
DOI
10.55730/1300-0098.3472
Keywords
Fibonomial sequence spaces, Schauder basis, $\alpha$-, $\beta$-, $\gamma$-duals, matrix transformations, geometric properties
First Page
1915
Last Page
1931
Recommended Citation
DAĞLI, M. C, & YAYING, T (2023). Fibonomial matrix and its domain in the spaces $\ell_p$ and $\ell_{\infty}$. Turkish Journal of Mathematics 47 (7): 1915-1931. https://doi.org/10.55730/1300-0098.3472
