EC (cas 14344-48-0)-tractability of approximation problems in function spaces defined over products of simplices
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Add time:08/03/2019 Source:sciencedirect.com
Many authors have studied exponentially-convergent tractability in the worst case setting. But almost all articles related to tractability are focused on the classes of some multivariate functions defined over the unit cubes [0,1]m or Rm. Note that simplex is also important in geometry and has many practical applications. In this paper we considered tractability of the approximation problems of function spaces with exponential weights defined over products of simplices and obtained necessary and sufficient conditions for certain kinds of tractability, including EC-tractability.
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