Approximation of partially smooth functions
✍ Scribed by John Erik Fornæss; YinXia Wang; Erlend Fornæss Wold
- Book ID
- 107347640
- Publisher
- SP Science China Press
- Year
- 2008
- Tongue
- English
- Weight
- 176 KB
- Volume
- 51
- Category
- Article
- ISSN
- 1674-7283
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract A real locally convex space is said to be __convenient__ if it is separated, bornological and Mackey‐complete. These spaces serve as underlying objects for a whole theory of differentiation and integration (see [4]) upon which infinite dimensional differential geometry is based (cf. [8]
Let W n be the set of 2?-periodic functions with absolutely continuous (n&1)th derivatives and nth derivatives with essential suprema bounded by one. Let n>1. Best uniform approximations to a periodic continuous function from W n are characterized. The result depends upon an analysis of the relatio