This article considers weighted approximation of multivariate function in reproducing kernel Hilbert space, and gives a relation between nth minimal errors for standard and linear information in the randomized setting...This article considers weighted approximation of multivariate function in reproducing kernel Hilbert space, and gives a relation between nth minimal errors for standard and linear information in the randomized setting. Using this relation we can estimate the nth minimal error for standard information by the nth minimal error for linear information, and study the tractability and strong tractability for these two classes of information.展开更多
基金This work is supported by the National Natural Science Foundation of China (Grant No.: 10271001)
文摘This article considers weighted approximation of multivariate function in reproducing kernel Hilbert space, and gives a relation between nth minimal errors for standard and linear information in the randomized setting. Using this relation we can estimate the nth minimal error for standard information by the nth minimal error for linear information, and study the tractability and strong tractability for these two classes of information.
