Lp metrics for compact, convex sets
โ Scribed by Richard A Vitale
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 325 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract In this paper the concepts of strictly convex and uniformly convex normed linear spaces are extended to metric linear spaces. A relationship between strict convexity and uniform convexity is established. Some existence and uniqueness theorems on best approximation in metric linear space
A necessary and sufficient condition for a convex and compact set of complex polynomials to be strictly Hurwitz is 9iven. The result implies and 9eneralizes several results on strict Hurwitz property of polynomials. In particular, our result covers the "edge theorem" fbr polytopes of strictly Hurwit