MMN-1227
Some new paranormed difference sequence spaces derived by Fibonacci numbers
Emrah Evren Kara; Serkan Demiriz;Abstract
In this study, we define new paranormed sequence spaces by the
sequences of Fibonacci numbers. Furthermore, we compute the
$\alpha-,\beta-$ and $\gamma-$ duals and obtain bases for these
sequence spaces. Besides this, we characterize the matrix
transformations from the new paranormed sequence spaces to the
Maddox's spaces $c_{0}(q),c(q),\ell(q)$ and $\ell_{\infty}(q)$.
Vol. 16 (2015), No. 2, pp. 907-923
DOI: 10.18514/MMN.2015.1227