摘要
在给定的再生核Hilbert空间中,利用再生核的性质,通过再生核函数的线性组合得到插值基函数,从而构造了插值函数,并给出误差估计和数值算例.该方法是这个再生核Hilbert空间中一种新的插值方法,计算量小,收敛速度较快,便于实际应用.
In this paper, interpolation function is constructed by basis functions which are presented by the linear combination of a reproducing kernel function in some reproducing kernel Hilbert space. Meanwhile estimation of error and numerical examples are given. As a new method to resolve numerical approximation in the reproducing kernel Hilbert space, it is easy for calculation, better convergent and can be used conveniently.
出处
《哈尔滨理工大学学报》
CAS
2007年第3期120-122,共3页
Journal of Harbin University of Science and Technology
基金
黑龙江省高校骨干教师创新项目(1054G010)
关键词
插值函数
再生核
再生核HILBERT空间
interpolation function
reproducing kernel
reproducing kernel Hilbert space
