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Tchebyshev Approximation by S01(△) over Some Special Triangulations
基金项目:Supported by the National Natural Science Foundation of China (Grant Nos. 10271022;60373093;60533060;11101366;61100130);the Innovation Foundation of the Key Laboratory of High-Temperature Gasdynamics of Chinese Academy of Sciences
摘    要: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 0 1(△) in geometry,where 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.

关 键 词:Tchebyshev  approximation  bivariate  splines  S  0  1(△).
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