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Methods of Approximation Theory in Complex Analysis and Mathematical Physics pp 160–163Cite as

Degree of approximation of analytic functions by “near the best” polynomial approximants

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1550))

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References

  1. E.B. Saff and V. Totik, Behavior of polynomials of best uniform approximation, Trans. Amer. Math. Soc. 316 no. 2 (1989), pp. 567–593.

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  2. J.L.Walsh, Interpolation and approximation by rational functions in the complex domain, Publ. by AMS, 1960, Second Ed..

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  3. V.I.Smirnov and N.A.Lebedev, Constructive theory of functions of complex variable, Nauka, M.-L., 1964. (In Russian)

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  4. V.K.Dzjadyk, Introduction in the theory of the uniform approximation of functions by polynomials, Nauka, M., 1977. (In Russian)

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk, USSR

    V. V. Maimeskul

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  1. V. V. Maimeskul
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Andrei A. Gonchar Edward B. Saff

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© 1993 The Euler International Mathematical Institute

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Maimeskul, V.V. (1993). Degree of approximation of analytic functions by “near the best” polynomial approximants. In: Gonchar, A.A., Saff, E.B. (eds) Methods of Approximation Theory in Complex Analysis and Mathematical Physics. Lecture Notes in Mathematics, vol 1550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0117482

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  • DOI: https://doi.org/10.1007/BFb0117482

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56931-2

  • Online ISBN: 978-3-540-47792-1

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