Vakeel Ahmad KHAN, Sameera Aa ABDULLAH, Kamal Mas ALSHLOOL

Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces

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,

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