In this paper, the non-linear approximation on the class of multivariate functions with bounded mixed derivatives is investigated, and the asymptotic degree of the non-linear width on this class is determined.
基金Project supported by the Natural Science Foundation of China(Grant No.10371009)Research Fund for the Doctoral Program of Higher Education(Grant No.20050027007)Key Project of Science and Technology Bureau of Sichuan Province
文摘In this paper, the non-linear approximation on the class of multivariate functions with bounded mixed derivatives is investigated, and the asymptotic degree of the non-linear width on this class is determined.