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Uniform polynomial approximation of entire functions on arbitrary compact sets in the complex plane

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Abstract

For an arbitrary compact setK⊂ℂ, we relate the order and the type of an entire functionf to the sequenceE n (f,K) of best polynomial approximations to this function onK.

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Authors and Affiliations

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

    A. A. Dovgoshei

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  1. A. A. Dovgoshei
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Translated fromMatematicheskie Zametki, Vol. 58, No. 3, pp. 355–364, September, 1995.

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Dovgoshei, A.A. Uniform polynomial approximation of entire functions on arbitrary compact sets in the complex plane. Math Notes 58, 921–927 (1995). https://doi.org/10.1007/BF02304768

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  • DOI: https://doi.org/10.1007/BF02304768

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