Abstract
In this paper the author studies the existence and the characterization of the n dimensional Chebyshev subspaces of L1[a, b], B[a, b] and some other spaces of discontinuous functions. In the case when the space admits an n dimensional Chebyshev subspace, the author develops a complete characterization for those n dimensional Chebyshev subspaces. In the case when the space does not admit an n dimensional Chebyshev subspaces, the author proves it.
| Original language | English |
|---|---|
| Pages (from-to) | 1-9 |
| Number of pages | 9 |
| Journal | Jaen Journal on Approximation |
| Volume | 7 |
| Issue number | 1 |
| Publication status | Published - 2015 |
Keywords
- Banach lattice
- Best approximation
- Chebyshev spaces
- Spaces of discontinuous functions
ASJC Scopus subject areas
- Analysis
- Numerical Analysis