Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces

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Communications in Advanced Mathematical Sciences
Volume:2 Issue:4
Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces

Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces

Authors : Vakeel Ahmad KHAN, Sameera Aa ABDULLAH, Kamal Mas ALSHLOOL

Pages : 293-302

View : 19 | Download : 12

Publication Date : 2019-12-29

Article Type : Research Paper

Abstract :In this paper we introduce some new sequence spaces $ c_{0}^{I}insert ignore into journalissuearticles values(\hat{F},p);$, $c^{I}insert ignore into journalissuearticles values(\hat{F},p);$ and $\ell_{\infty}^{I}insert ignore into journalissuearticles values(\hat{F},p);$ for $p=insert ignore into journalissuearticles values(p_n);,$ 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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