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\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.
 Publication:

arXiv eprints
 Pub Date:
 April 2016
 arXiv:
 arXiv:1604.00182
 Bibcode:
 2016arXiv160400182D
 Keywords:

 Mathematics  Functional Analysis;
 11B39;
 46A45;
 46B45;
 46B20
 EPrint:
 14 pages