Some new sequence spaces of interval number based on Zweier sequences and Fibonacci numbers
Abstract
The main aim of this paper is to determine necessary and sufficient conditions for the matrix of interval numbers $\bar{A}=(\bar{a}_{nk})$ such that $\bar{A}$ transform $\bar{x}=(\bar{x}_{k})$, belongs to the set $l_{\infty }^{i}$, $c_{0}^{i}$, $c^{i}$ where in particular $\bar{x}\in l_{\infty }^{i}$, $c_{0}^{i}$ and $c^{i} $, to introduce some new sequence spaces $c^{i}(\bar{A}_{ZF})$, $c_{0}^{i}(\bar{A}_{ZF})$, $l_{\infty }^{i}(\bar{A}_{ZF})$ based on a
newly defined matrix of interval numbers $\bar{A}_{ZF}$. We study some basic algebraic and topological properties. Also we investigate the relations related to these spaces.
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