Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500725 | Journal of Approximation Theory | 2005 | 23 Pages |
Abstract
To provide a Kolmogorov-type condition for characterizing a best approximation in a continuous complex-valued function space, it is usually assumed that the family of closed convex sets in the complex plane used to restrict the range satisfies a strong interior-point condition, and this excludes the interesting case when some Ωt is a line-segment or a singleton. The main aim of the present paper is to remove this restriction by virtue of a study of the notion of the strong CHIP for an infinite system of closed convex sets in a continuous complex-valued function space.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chong Li, K.F. Ng,