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Best approximations by rational functions

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Abstract

Description of a general class of real continuous functions cn a segment Δ of the real line for which a best rational approximation with complex coefficients is not unique.

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Literature cited

  1. A. A. Gonchar, The Rate of Approximation by Rational Fractions and the Properties of Functions, Transactions of the International Mathematical Congress [in Russian). Moscow (1968).

  2. N. I. Akhiezer, Lectures on Approximation Theory [in Russian], Moscow (1955).

  3. B. Boehm, “Functions whose best rational Chebyshev approximations are polynomials,” Num. Math.,6, 235–242 (1964).

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Authors and Affiliations

  1. V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR, USSR

    K. N. Lungu

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  1. K. N. Lungu
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Additional information

Translated from Matematicheskie Zametki, Vol. 10, No. 1, pp. 11–15, July, 1971.

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Lungu, K.N. Best approximations by rational functions. Mathematical Notes of the Academy of Sciences of the USSR 10, 431–433 (1971). https://doi.org/10.1007/BF01747064

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  • DOI: https://doi.org/10.1007/BF01747064

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