On Almost Interpolation |
| |
Authors: | Oleg Davydov |
| |
Institution: | Department of Mechanics and Mathematics, Dnepropetrovsk State University, pr. Gagarina 72, Dnepropetrovsk, GSP 320625, Ukraine |
| |
Abstract: | We obtain some characterizations of almost interpolation configurations of points with respect to finite-dimensional functional spaces. Particularly, a Schoenberg–Whitney type characterization which is valid for any multivariate spline space relative to an arbitrary partition of a domainA⊂mis presented. As a closely related problem we investigate sectional structure of finite-dimensional spaces of real functions on a topological spaceA. It is shown that under some reasonable restrictions onAany space of this sort may be considered as piecewise almost Chebyshev. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|