Some Generalized Fibonacci Difference Spaces Defined By A Sequence Of Modulus Functions

Abstract

This paper submits the sequence space l ((F) over cap (r, s) , F, p, u) and l(infinity) ((F) over cap (r, s) , F, p, u) of non-absolute type under the domain of the matrix (F) over cap (r, s) constituted by using Fibonacci sequence and non-zero real number r, s and a sequence of modulus functions. We study some inclusion relations, topological and geometric properties of these spaceses. Further, we give the alpha- beta- and gamma-duals of said sequence spaces and characterization of the classes (l ((F) over cap (r, s) , F, p, u) , X) and (l(infinity) ((F) over cap (r, s) , F, p, u) , X).