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Proceedings of the American Mathematical Society

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On unicity of complex polynomial $ L\sb{1}$-approximation along curves


Author: A. Kroó
Journal: Proc. Amer. Math. Soc. 86 (1982), 427-432
MSC: Primary 41A52; Secondary 30E10
DOI: https://doi.org/10.1090/S0002-9939-1982-0671209-6
MathSciNet review: 671209
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Abstract: We study the unicity of best polynomial $ {L_1}$-approximation of complex continuous functions along curves $ \gamma $ in the complex plane. A sufficient condition on $ \gamma $ is given which implies unicity. In particular our result includes the known cases of circle and line segment.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0671209-6
Article copyright: © Copyright 1982 American Mathematical Society