摘要
借助离散Fourier变换给出估计Mercer核矩阵逆矩阵范数上界的一种方法,由此给出了估计周期再生核Hilbert空间覆盖数的上、下界的一般方法.特别,对两种特殊的周期再生核空间覆盖数的上、下界进行了比较.
A kind of method of estimating the norm of the inverse of the periodic Mercer kernel matrices is proposed with discrete Fourier transforms,with which a general way of estimating the upper and lower bounds of the covering number for periodic reproducing kernel Hilbert spaces is provided. In particular,the lower and upper bounds of the covering number for two special periodic reproduced kernel spaces are compared.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2009年第6期1590-1600,共11页
Acta Mathematica Scientia
基金
国家自然科学基金(10871226)资助