Nonuniqueness of best approximating complex rational functions

Saff, E. B.; Varga, R. S.

doi:10.1090/S0002-9904-1977-14276-6

Bulletin of the American Mathematical Society

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ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Nonuniqueness of best approximating complex rational functions
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by E. B. Saff and R. S. Varga PDF

Bull. Amer. Math. Soc. 83 (1977), 375-377

References

Günter Meinardus, Approximation of functions: Theory and numerical methods, Expanded translation of the German edition, Springer Tracts in Natural Philosophy, Vol. 13, Springer-Verlag New York, Inc., New York, 1967. Translated by Larry L. Schumaker. MR 0217482, DOI 10.1007/978-3-642-85643-3
E. B. Saff and R. S. Varga, Nonuniqueness of best complex rational approximations to real functions on real intervals, J. Approx. Theory 23 (1978), no. 1, 78–85. MR 499031, DOI 10.1016/0021-9045(78)90081-3
J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, 3rd ed., American Mathematical Society Colloquium Publications, Vol. XX, American Mathematical Society, Providence, R.I., 1960. MR 0218587