Application of geometric calculus in numerical analysis and difference sequence spaces

The main purpose of this paper is to introduce the geometric difference sequence space ℓ∞G(ΔG) and prove that ℓ∞G(ΔG) is a Banach space with respect to the norm ‖.‖ΔGG. Also we compute the α-dual, β-dual and γ-dual spaces. Finally we obtain the Geometric Newton-Gregory interpolation formulae.