Abstract
This paper is a generalization of the result obtained by F. Deutsch, G. Nürnberger, and I. Singer (1980, Pacific J. Math. 88, 9-31). It is shown that if Q is a locally compact totally ordered space, and N is an n-dimensional subspace of C0(Q), then N is a weak Chebyshev subspace if and only if for each f ε{lunate} C0(Q), there is g ε{lunate} N such that ∥f - g∥ = d(f, N) and (f - g) equioscillates at (n + 1) points.
Original language | English |
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Pages (from-to) | 129-141 |
Number of pages | 13 |
Journal | Journal of Approximation Theory |
Volume | 67 |
Issue number | 2 |
DOIs | |
Publication status | Published - Nov 1991 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- General Mathematics
- Applied Mathematics