|
|||||
|
|
Shape-preserving interpolation by cubic splines |
|
| Authors: | Yu. S. Volkov V. V. Bogdanov V. L. Miroshnichenko V. T. Shevaldin |
| Affiliation: | 1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia 4. Novosibirsk State University, Novosibirsk, Russia 2. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia 3. Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia |
| Abstract: | We consider the problem of shape-preserving interpolation by cubic splines. We propose a unified approach to the derivation of sufficient conditions for the k-monotonicity of splines (the preservation of the sign of any derivative) in interpolation of k-monotone data for k = 0, …, 4. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |