Some properties of Generalized Fibonacci difference bounded and $p$-absolutely convergent sequences

Abstract

The main objective of this paper is to introduced a new sequence space $l_p(\hat{F}(r,s)),$ $1\le p\le \infty$ 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.

14 pages