Application of geometric calculus in numerical analysis and difference sequence spaces

详细信息    查看全文

• 作者：Khirod Boruah ^{khirodb10@gmail.com} ; Bipan Hazarika ; ^{bh_rgu@yahoo.co.in}
• 关键词：Difference sequence spaces ; Dual space ; Geometric calculus ; Interpolation formula
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 May 2017
• 年：2017
• 卷：449
• 期：2
• 页码：1265-1285
• 全文大小：382 K
• 卷排序：449

文摘

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.