On polyharmonic interpolation

被引：2
|
作者：
Haussmann, Werner
Kounchev, Ognyan
机构：
[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria
[2] Univ Duisburg Essen, Dept Math, D-47057 Duisburg, Germany
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 331卷 / 02期
关键词：
polyharmonic functions; multivariate interpolation;
D O I：
10.1016/j.jmaa.2006.09.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we will introduce a new approach to multivariate interpolation by employing polyharmonic functions as interpolants, i.e. by solutions of higher order elliptic equations. We assume that the data arise from C-infinity or analytic functions in the ball B-R. We prove two main results on the interpolation of C-infinity or analytic functions f in the ball B-R by polyharmonic functions h of a given order of polyharmonicity p. (c) 2006 Elsevier Inc. All rights reserved.
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页码：840 / 849
页数：10
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