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

Anupam Das, Bipan Hazarika

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 $bv(\hat{F}).$


Keywords


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

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DOI: http://dx.doi.org/10.5269/bspm.v36i3.32010



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