| Tchebyshev Approximation by $S_1^0(\Delta)$ over Some Special Triangulations |
| Received:March 20, 2010 Revised:May 28, 2010 |
| Key Words:
Tchebyshev approximation bivariate splines $S_1^0(\Delta)$.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10271022; 60373093; 60533060; 11101366; 61100130) and the Innovation Foundation of the Key Laboratory of High-Temperature Gasdynamics of Chinese Academy of Sciences. |
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| Abstract: |
| The critical point set plays a central role in the theory of Tchebyshev approximation. Generally, in multivariate Tchebyshev approximation, it is not a trivial task to determine whether a set is critical or not. In this paper, we study the characterization of the critical point set of $S_1^0(\Delta)$ in geometry, where $\Delta$ is restricted to some special triangulations (bitriangular, single road and star triangulations). Such geometrical characterization is convenient to use in the determination of a critical point set. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2012.01.001 |
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