On Almost Interpolation

✍ Scribed by Oleg Davydov

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 301 KB
• Volume: 91
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1996.3094

✦ Synopsis

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 domain A/R m is presented. As a closely related problem we investigate sectional structure of finite-dimensional spaces of real functions on a topological space A. It is shown that under some reasonable restrictions on A any space of this sort may be considered as piecewise almost Chebyshev.