Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces

Year 2019, Volume: 2 Issue: 4, 293 - 302, 29.12.2019

Vakeel Ahmad Khan , Sameera Aa Abdullah Kamal Mas Alshlool

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

Supporting Institution

aligarh muslim university aligarh india

Project Number

amu231678

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