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 th...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^01（△） in geometry, where A 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.展开更多
基金Supported by the National Natural Science Foundation of China (Grant Nos. 1027102260373093+3 种基金605330601110136661100130)the Innovation Foundation of the Key Laboratory of High-Temperature Gasdynamics of Chinese Academy of Sciences
文摘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^01（△） in geometry, where A 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.
