文献类型：期刊文献

英文题名：The Convergence Rate for a K-Functional in Learning Theory

作者：Sheng, Bao-Huai[1];Xiang, Dao-Hong[2]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China;[2]Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

年份：2010

卷号：2010

外文期刊名：JOURNAL OF INEQUALITIES AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000277840500001)、、WOS

基金：This work is supported by the National NSF (10871226) of China. The authors thank the reviewers for giving very valuable suggestions.

语种：英文

外文摘要：It is known that in the field of learning theory based on reproducing kernel Hilbert spaces the upper bounds estimate for a K-functional is needed. In the present paper, the upper bounds for the K-functional on the unit sphere are estimated with spherical harmonics approximation. The results show that convergence rate of the K-functional depends upon the smoothness of both the approximated function and the reproducing kernels.