Generalized Strang–Fix condition for scattered data quasi-interpolation |
| |
| Authors: | Zong Min Wu Jian Ping Liu |
| |
| Institution: | (1) Shanghai Key Laboratory for Contemporary Applied Mathematics Department of Mathematics, Fudan University, Shanghai, P.R. China;(2) Department of Mathematics, East China University of Science and Technology, P.R. China |
| |
| Abstract: | Quasi-interpolation is very useful in the study of the approximation theory and its applications, since the method can yield solutions directly and does not require solving any linear system of equations. However, quasi-interpolation is usually discussed only for gridded data in the literature. In this paper we shall introduce a generalized Strang–Fix condition, which is related to nonstationary quasi-interpolation. Based on the discussion of the generalized Strang–Fix condition we shall generalize our quasi-interpolation scheme for multivariate scattered data, too.
AMS subject classification 41A63, 41A25, 65D10Zong Min Wu: Supported by NSFC No. 19971017 and NOYG No. 10125102. |
| |
| Keywords: | quasi– interpolation Strang– Fix condition scattered data approximation shift-invariant space radial basis interpolation |
| 本文献已被 SpringerLink 等数据库收录！ |
|
