Abstract:
The forthcoming property of this manuscript is its calculating of the goal of norms and lower bounds of matrix operators taken from the weighted sequence space ℓp (w) onto a novel one defined in the present article as the generalized Fibonacci weighted difference sequence space. In this process, first of all the Fibonacci difference matrix ˜F(r, s) and the space composed of sequences of which ˜F(r, s)-transforms lie in ℓp (˜w), where r, s ∈ R are defined. Additionaly, since the seminormed space ℓp (˜w, ˜F(r, s)) has the absolute homogeneous property, the topological characteristics on it are distributed symmetrically everywhere in the space. © 2022 by the author. Licensee MDPI, Basel, Switzerland.