Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces

Abstract

In this paper we introduce some new sequence spaces $ c_{0}^{I}(\hat{F},p)$, $c^{I}(\hat{F},p)$ and $\ell_{\infty}^{I}(\hat{F},p)$ for $p=(p_n),$ a sequence of positive real numbers. In addition, we study some topological and algebraic properties on these spaces. Lastly, we examine some inclusion relations on these spaces.

Keywords

• fibonacci difference matrix
• i-cauchy
• i-convergence
• paranormed space