Four Dimensional Fibonacci Matrix and its Domain in Some Spaces of Double Sequences

Mohammed A, Kiltho A and Brono AM

Published on: 2025-03-08

Abstract

The main purpose of this paper is to introduce a new four dimensional Fibonacci triangular matrix, F=(f_mnjk), show that it is regular, and define the double sequence spaces (M_u)_F, (C_p)_F, (C_bp)_F and (C_r)_F as domain of the newly defined Fibonacci matrix F in the spaces M_u, C_p, C_bp and C_r, respectively. We also examine some topological properties of these spaces, isomorphism and inclusions.