| 再生核空间二元函数展开 |
| |
| 引用本文： | 吴勃英. 再生核空间二元函数展开[J]. 东北数学, 2000, 16(3): 362-366 |
| |
| 作者姓名： | 吴勃英 |
| |
| 作者单位： | DepartmentofMathematics,HarbinInstituteofTechnology,Harbin,150001） |
| |
| 基金项目： | The NSF (19971020) of China. |
| |
| 摘 要： | For convenience, we use D to denote ［0,1］×［0,1］. PutH2={u(x,y)|u∈L2(D) is a real and totally continuous function withux, uy, 2ux2, 2uy2, 2uxy, 3uxy2, 3ux2y, 4ux2y2∈L2(D)} For any u and v∈H2, we define an inner product〈u,v〉=Duv+2uxvx+2uyvy+42uxy2vxy+2ux22vx2+2uy22vy2+23ux2y3vx2y+23uxy23vxy2+4ux2y24vx2y2dxdy.(1)Selecting a norm as ‖·‖=〈·,·〉1/2, we find that, as the proof in ［1］, H2 is a reproducing kernel space (see ［2］), and (1) defines indeed an inner product on the …
|
| 关 键 词： | 未知量 展开定理 再生核空间 连续逼近 偏微分函数 内插函数 |
The Expansion of the Function with Two Unknowns on the Reproducing Kernel Space |
| |
| WU Bo-ying. The Expansion of the Function with Two Unknowns on the Reproducing Kernel Space[J]. Northeastern Mathematical Journal, 2000, 16(3): 362-366 |
| |
| Authors: | WU Bo-ying |
| |
| Abstract: | In this paper we make use of a special procedure on the reproducing kernel space to give an expansion theorem for the function with two unknowns and a surface approximation formula. The error of the surface possesses monotonically decreasing and uniformly convergent characteristics in the sense of the norm on the space. |
| |
| Keywords: | reproducing kernel space function with two unknowns expansion theorem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
