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....

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2017-05, Vol.449 (2), p.1265-1285
Main Authors: Boruah, Khirod, Hazarika, Bipan
Format: Article
Language:English
Subjects:
Difference sequence spaces
Dual space
Geometric calculus
Interpolation formula
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Summary: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2016.12.066