摘要
研究了有限区间样条小波插值函数的逼近性质,证明了三次单节点样条小波插值函数是样条小波空间中的最佳逼近函数.并利用这一结果得到了样条小波插值的并行运算格式.
In this paper, we study the approximation properties of spline wavelets interpolation functionson a bounded interval. Then we have proved that the wavelets interpolation functions are exactly the best approximation functions in the space. Furthermore, by using this result, we have deduced the parallel algorithm of the decompositionof the interpolation spline wavelets.
出处
《湘潭大学自然科学学报》
CAS
CSCD
2004年第3期30-33,47,共5页
Natural Science Journal of Xiangtan University
基金
国家自然科学基金
中国工程物理研究院联合基金资助项目(10376031)
关键词
小波逼近
多分辨分析
样条小波
并行算法
wavelets approximation
multi-resolution analysis
spline wavelets
parallel algorithm
