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

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