节点文献
某些Mercer核矩阵的权范数
The Weighted Norm for Some Mercer Kernel Matrices
【摘要】 借助整函数插值研究由函数的广义平移所生成的Mercer核矩阵及其逆矩阵权范数的上、下界估计问题,将定义在无限区间上整函数的广义平移所生成的Mercer核矩阵权范数界的估计转化为其Fourier-Bessel变换来估计.
【Abstract】 In the present paper,the upper and lower bounds of the weighted norm for the Mercer kernel matrix produced by the generalized translation of an entire function defined on the infinite interval are investigated,the weighted norm is estimated by the Fourier-Bessel of the entire function.
【关键词】 Mercer核矩阵;
Rayleigh熵数;
整函数插值;
Bessel函数;
学习理论;
【Key words】 Mercer kernel matrices; Rayleigh entropy; Entire function interpolation; Bessel functions; Learning theory;
【Key words】 Mercer kernel matrices; Rayleigh entropy; Entire function interpolation; Bessel functions; Learning theory;
【基金】 国家自然科学基金(10871226.61179041);浙江省自然科学基金(Y610009(i)资助
- 【文献出处】 数学物理学报 ,Acta Mathematica Scientia , 编辑部邮箱 ,2013年01期
- 【分类号】O174
- 【被引频次】3
- 【下载频次】68