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Real and complex Chebyshev approximation on the unit disk and interval
Author(s):
Martin H.
Gutknecht;
Lloyd N.
Trefethen
Journal:
Bull. Amer. Math. Soc.
8
(1983),
455-458.
MSC (1980):
Primary 30E10;
Secondary 41A20
MathSciNet review:
693961
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Additional information
References:
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- C. K. Chui, O. Shisha and P. W. Smith, Padé approximants as limits of best rational approximants, J. Approx. Theory 12 (1974), 201-204. MR 358160
- 2.
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- 3.
- M. H. Gutknecht and L. N. Trefethen, Nonuniqueness of rational Chebyshev approximations on the unit disk, J. Approx. Theory (to appear). MR 720942
- 4.
- K. N. Lungu, Best approximation by rational functions, Mat. Z. 10 (1971), 11-15. (Russian) MR 290004
- 5.
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- 6.
- E. B. Saff and R. S. Varga, Nonuniqueness of best approximating complex rational functions, Bull. Amer. Math. Soc. 83 (1977), 375-377. MR 433108
- 7.
- E. B. Saff and R. S. Varga, Nonuniqueness of best complex rational approximations to real functions on real intervals, J. Approx. Theory 23 (1978), 78-85. MR 499031
- 8.
- L. N. Trefethen and M. H. Gutknecht, Real vs. complex rational Chebyshev approximation on an interval, Trans. Amer. Math. Soc. (submitted). MR 716837
- 9.
- R. S. Varga, Topics in polynomial and rational interpolation and approximation, Les Presses de l'Université de Montréal, Montréal, 1982. MR 654329
- 10.
- J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, 5th. ed., Amer. Math. Soc. Colloq. Publ., vol. 20, Amer. Math. Soc. Providence, R.I., 1966. MR 218588
- 11.
- J. L. Walsh, Padé approximants as limits of rational functions of best approximation, J. Math. Mech. 13 (1964), 305-312. MR 161074
- 12.
- J. L. Walsh, Padé approximants as limits of rational functions of best approximation, real domain, J. Approx. Theory 11 (1974), 225-230. MR 352801
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Additional Information:
DOI:
10.1090/S0273-0979-1983-15118-2
PII:
S 0273-0979(1983)15118-2
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