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Bulletin of the American Mathematical Society

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Nonuniqueness of best approximating complex rational functions

Authors: E. B. Saff and R. S. Varga
Journal: Bull. Amer. Math. Soc. 83 (1977), 375-377
MSC (1970): Primary 41A20; Secondary 41A50
MathSciNet review: 0433108
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  • 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
  • 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
  • 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

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