Some properties of Generalized Fibonacci difference bounded and $p$-absolutely convergent sequences
DOI:
https://doi.org/10.5269/bspm.v36i1.30960Palavras-chave:
Fibonacci numbers, Difference matrix, $\alpha$-, $\beta$-, $\gamma$-duals, Matrix Transformations, fixed point property, Banach-Saks type $p.$Resumo
The main objective of this paper is to introduced a new sequence space $l_{p}(\hat{F}(r,s)),$ $ 1\leq p \leq \infty$ by using the band matrix $\hat{F}(r,s).$ We also establish a few inclusion relations concerning this space and determine its $\alpha-,\beta-,\gamma-$duals. We also characterize some matrix classes on the space $l_{p}(\hat{F}(r,s))$ and examine some geometric properties of this space.
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2018-01-01
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