Chebyshev approximation by an \(n\)-dimensional subspace on a set of \(n+1\) points. (English) Zbl 0715.41039
Summary: We discuss Chebyshev approximation by an n-dimensional subspace on a set of \(n+1\) points and prove the two conjectures proposed by C. B. Dunham [Numerical mathematics and computing, Proc. 15th Conf., Winnipeg/Manitoba 1985, Congr. Numerantium 51, 123-136 (1986; Zbl 0676.41033)].
MSC:
| 41A50 | Best approximation, Chebyshev systems |
| 41A65 | Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) |
