Article contents
Dependence of Best Rational Chebyshev Approximations on the Domain
Published online by Cambridge University Press: 20 November 2018
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Sufficient conditions are given for the error norm and coefficients of best rational Chebyshev approximation on a domain to depend continuously on the domain. Examples of discontinuity are given.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1977
References
1.
Dunham, C.B., Rational Chebyshev approximation on subsets, J. Approximation Theory 1, 484-487 (1968).Google Scholar
2.
Dunham, C.B., Existence of admissible rational Chebyshev approximations on subsets, J. Approximation Theory
12, (1974), 307-308.Google Scholar
3.
Dunham, C.B., Minimax nonlinear approximation by approximation on subsets, Coram. ACM
15 (1972), 351.Google Scholar
4.
Dunham, C.B., Nearby linear Chebyshev approximation. Aequationes Mathematicae, to appear.Google Scholar
5.
Kripke, B.R., Best approximation with respect to nearby norms, Numer. Math.
6 (1964), 103-105.Google Scholar
6.
Riha, W., Continuity and condition of the linear approximation problem I, Computing
10 (1972), 359-364.Google Scholar
- 8
- Cited by