Application of Geometric Calculus in Numerical Analysis and Difference Sequence Spaces

Abstract

The main purpose of this paper is to introduce the geometric difference sequence space $l_{\infty }^G({\Delta }_G)$ and prove that $l_{\infty }^G({\Delta }_G)$ is a Banach space with respect to the norm ${\Vert .\Vert }_{{\Delta }_G}^G.$ Also we compute the $\alpha$-dual, $\beta$-dual and $\gamma$-dual spaces. Finally we obtain the Geometric Newton-Gregory interpolation formulae.

18 pages. arXiv admin note: text overlap with arXiv:1603.09497