  The main objective of this paper is to introduced a new sequence space
$l_{p}(\hat{F}(r,s)),$ $ 1\leq p \leq \infty$ by using the band matrix
$\hat{F}(r,s).$
  We also establish a few inclusion relations concerning this space and
determine its $\alpha-,\beta-,\gamma-$duals. We also characterize some matrix
classes on the space $l_{p}(\hat{F}(r,s))$ and examine some geometric
properties of this space.
