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

  • Anupam Das Rajiv Gandhi University
  • Bipan Hazarika Rajiv Gandhi University
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 $bv(\hat{F}).$

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Author Biographies

Anupam Das, Rajiv Gandhi University

Department of Mathematics

Mathematics 

Assistant Professor

Bipan Hazarika, Rajiv Gandhi University

Department of Mathematics

Mathematics

Associate  Professor

Published
2018-07-01
Section
Articles