|
|||||
|
|
Estimate of the norm of the Lagrange interpolation operator in a multidimensional Sobolev space |
|
| Authors: | A I Fedotov |
| Institution: | (1) Chebotarev Research Institute for Mechanics and Mathematics, Kazan State University, Russia |
| Abstract: | We obtain an estimate of the norm of the Lagrange interpolation operator in a multidimensional Sobolev space. It is shown that, under a suitable choice of the sequence of multi-indices, interpolation polynomials converge to the interpolated function and their rate of convergence is of the order of the best approximation of this function. |
| Keywords: | Lagrange interpolation operator interpolation polynomial rate of convergence best approximation Sobolev space Hilbert space Riemann zeta function |
| 本文献已被 SpringerLink 等数据库收录！ | |