首页 | 本学科首页   官方微博 | 高级检索  
     检索      

ON AN EXTENSION OF ABEL-GONTSCHAROFF'S EXPANSION FORMULA
作者姓名:Tianxiao  He  Leetsch  C.  Hsu  Peter  J.  S.  Shiue
作者单位:[1]Illinois Wesleyan University, USA [2]Dalian University of Technology, China [3]University of Nevada Las Vegas, USA
摘    要:We present a constructive generalization of Abel-Gontscharoff's series expansion to higher dimensions. A constructive application to a problem of multivariate interpolation is also investigated. In addition, two algorithms for constructing the basis functions of the interpolants are given.

关 键 词:Abel-Gontscharoff扩展  多项式  Abel-Gontscharoff插值函数  零化子系数
收稿时间:2005-03-09

On an extension of Abel-Gontscharoff’s expansion formula
Tianxiao He Leetsch C. Hsu Peter J. S. Shiue.On an extension of Abel-Gontscharoff’s expansion formula[J].Analysis in Theory and Applications,2005,21(4):359-369.
Authors:Tianxiao He  Leetsch C Hsu  Peter J S Shiue
Institution:(1) Department of Mathematics and Computer Science, Illinois Wesleyan University, 61702-2900 Bloomington, IL, USA;(2) Department of Mathematics, Dalian University of Technology, 116024 Dalian, P. R. China;(3) Department of Mathematics, University of Nevada Las Vegas, 89154-4020 Las Vegas, NV, USA
Abstract:We present a constructive generalization of Abel-Gontscharoff’s series expansion to higher dimensions. A constructive application to a problem of multivariate interpolation is also investigated. In addition, two algorithms for constructing the basis functions of the interpolants are given. This paper is a talk on the ‘International Conference at Analysis in Theory and Applications’ held in Nanjing, P.R. China, July, 2004.
Keywords:Abel-Gontscharoff’  s Expansion Formula  Abel-Gontscharoff-Gould polynomial  multivariate Abel-Gontscharoff interpolation  higher dimensional dot product annihilation coefficients
本文献已被 维普 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号