Dependence of Best Rational Chebyshev Approximations on the Domain
Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 451-454

Voir la notice de l'article provenant de la source Cambridge University Press

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.
Dunham, Charles B. Dependence of Best Rational Chebyshev Approximations on the Domain. Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 451-454. doi: 10.4153/CMB-1977-066-1
@article{10_4153_CMB_1977_066_1,
     author = {Dunham, Charles B.},
     title = {Dependence of {Best} {Rational} {Chebyshev} {Approximations} on the {Domain}},
     journal = {Canadian mathematical bulletin},
     pages = {451--454},
     year = {1977},
     volume = {20},
     number = {4},
     doi = {10.4153/CMB-1977-066-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-066-1/}
}
TY  - JOUR
AU  - Dunham, Charles B.
TI  - Dependence of Best Rational Chebyshev Approximations on the Domain
JO  - Canadian mathematical bulletin
PY  - 1977
SP  - 451
EP  - 454
VL  - 20
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-066-1/
DO  - 10.4153/CMB-1977-066-1
ID  - 10_4153_CMB_1977_066_1
ER  - 
%0 Journal Article
%A Dunham, Charles B.
%T Dependence of Best Rational Chebyshev Approximations on the Domain
%J Canadian mathematical bulletin
%D 1977
%P 451-454
%V 20
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-066-1/
%R 10.4153/CMB-1977-066-1
%F 10_4153_CMB_1977_066_1

[1] 1. Dunham, C.B., Rational Chebyshev approximation on subsets, J. Approximation Theory 1, 484-487 (1968). Google Scholar

[2] 2. Dunham, C.B., Existence of admissible rational Chebyshev approximations on subsets, J. Approximation Theory 12, (1974), 307-308. Google Scholar

[3] 3. Dunham, C.B., Minimax nonlinear approximation by approximation on subsets, Coram. ACM 15 (1972), 351. Google Scholar

[4] 4. Dunham, C.B., Nearby linear Chebyshev approximation. Aequationes Mathematicae, to appear. Google Scholar

[5] 5. Kripke, B.R., Best approximation with respect to nearby norms, Numer. Math. 6 (1964), 103-105. Google Scholar

[6] 6. Riha, W., Continuity and condition of the linear approximation problem I, Computing 10 (1972), 359-364. Google Scholar

Cité par Sources :