On polyharmonic interpolation |
| |
| Authors: | Werner Haußmann |
| |
| Institution: | a Department of Mathematics, University of Duisburg-Essen, Lotharstr. 65, 47057 Duisburg, Germany
b Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev street 8, 1113 Sofia, Bulgaria |
| |
| Abstract: | 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∞ or analytic functions in the ball BR. We prove two main results on the interpolation of C∞ or analytic functions f in the ball BR by polyharmonic functions h of a given order of polyharmonicity p. |
| |
| Keywords: | Polyharmonic functions Multivariate interpolation |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
