Abstract
In the present paper, we introduce the sequence space using a new regular matrix of Fibonacci numbers, where . We investigate its topological properties such as Schauder basis, and duals and its geometric properties like uniformly convex, strictly convex and super-reflexive. We also characterize some matrix classes from the space to classical sequence spaces.
Acknowledgements
The authors would like to thank the reviewers for his/her careful reading and making some useful comments which improved the presentation of the paper.
Notes
No potential conflict of interest was reported by the authors.