Application of Geometric Calculus in Numerical Analysis and Difference Sequence Spaces

2016/03/31 by Boruah, Khirod, Hazarika, Bipan
#08A05 #11U10 #26A06 #46A45 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1603.09479

Abstract

The main purpose of this paper is to introduce the geometric difference sequence space l_∞^G (Δ_G) and prove that l_∞^G (Δ_G) is a Banach space with respect to the norm ‖.‖^G_ΔG. 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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