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

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DOI

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
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     title = {Dependence of {Best} {Rational} {Chebyshev} {Approximations} on the {Domain}},
     journal = {Canadian mathematical bulletin},
     pages = {451--454},
     year = {1977},
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     number = {4},
     doi = {10.4153/CMB-1977-066-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-066-1/}
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