| 摘要: |
| 研究样条小波刻划Sobolev空间H1(R)={f|f,f'∈L2(R)}时的条件数问题,得到样条小波Sobolev-Riesz条件数的最优下界为4d-2. |
| 关键词: 样条小波 Sobolev空间 条件数 |
| DOI： |
| 投稿时间：2009-03-05 |
| 基金项目:桂林电子科技大学博士启动基金项目(Z20710)资助 |
|
| Sobolev-Riesz Condition Number of Spline Wavelets |
|
JIANG Ying-chun1, WANG Hong2
|
| (1.School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China;2.China Civil Affairs College, Beijing, 101601, China) |
| Abstract: |
| The condition number for the characterization of Sobolev space H1(R)={f|f,f'∈L2(R)}is studied and it is proved that the optimal lower bound of Sobolev-Riesz condition number is 4d-2. |
| Key words: spline wavelets Sobolev spaces condition number |
