Application of geometric calculus in numerical analysis and difference sequence spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:449

Article

Boruah, Khirod¹  Hazarika, Bipan¹ 

[1] Rajiv Gandhi Univ, Dept Math, Doimukh 791112, Arunachal Prade, India

关键词: Difference sequence spaces;    Dual space;    Geometric calculus;    Interpolation formula;   

DOI  :  10.1016/j.jmaa.2016.12.066

来源: Elsevier

【 摘 要 】

The main purpose of this paper is to introduce the geometric difference sequence space l(infinity)(G) (Delta(G)) and prove that l(infinity)(G)(Delta(G)) is a Banach space with respect to the norm parallel to.parallel to(G)(Delta G). Also we compute the alpha-dual, beta-dual and gamma-dual spaces. Finally we obtain the Geometric Newton-Gregory interpolation formulae. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free