Matrix transformation of Fibonacci band matrix on generalized $bv$-space and its dual spaces

Anupam Das; Bipan Hazarika

doi:10.5269/bspm.v36i3.32010

Matrix transformation of Fibonacci band matrix on generalized $bv$-space and its dual spaces

Authors

Anupam Das Rajiv Gandhi University
Bipan Hazarika Rajiv Gandhi University

DOI:

https://doi.org/10.5269/bspm.v36i3.32010

Keywords:

Fibonacci numbers, $\alpha-, $ $\beta-, $ $\gamma-$duals, Matrix Transformations

Abstract

In this paper we introduce a new sequence space $bv(\hat{F})$ by using the Fibonacci band matrix $\hat{F}.$ We also establish a few inclusion relations concerning this space and determine its $\alpha-,\beta-,\gamma-$duals. Finally we characterize some matrix classes on the space $bv(\hat{F}).$

Author Biographies

Anupam Das, Rajiv Gandhi University

Department of Mathematics
Mathematics
Assistant Professor
Bipan Hazarika, Rajiv Gandhi University

Department of Mathematics
Mathematics
Associate Professor