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 $l_\infty^{G} (Δ_G)$ and prove that $l_\infty^{G} (Δ_{G})$ is a Banach space with respect to the norm $\left\|.\right\|^G_{Δ_G}.$ Also we compute the $α$-dual, $β$-dual and $γ$-dual spaces. Finally we obtain the Geometric Newton-Gregory interpolation formulae.

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