Poles and Alternation Points in Real Rational Chebyshev Approximation

2004 ◽  
Vol 3 (1) ◽  
pp. 165-177 ◽  
Author(s):  
Hans-Peter Blatt ◽  
René Grothmann ◽  
Ralitza Kovacheva
Keyword(s):  
Chebyshev Approximation ◽  
Rational Chebyshev ◽  
Rational Chebyshev Approximation

Dependence of Best Rational Chebyshev Approximations on the Domain

1977 ◽  
Vol 20 (4) ◽  
pp. 451-454 ◽  
Author(s):  
Charles B. Dunham
Keyword(s):  
Sufficient Conditions ◽  
Chebyshev Approximation ◽  
Error Norm ◽  
Rational Chebyshev ◽  
Rational Chebyshev Approximation

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.

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