On unicity of complex polynomial $L_{1}$-approximation along curves
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- by A. Kroรณ
- Proc. Amer. Math. Soc. 86 (1982), 427-432
- DOI: https://doi.org/10.1090/S0002-9939-1982-0671209-6
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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.References
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- Ivan Singer, Best approximation in normed linear spaces by elements of linear subspaces, Die Grundlehren der mathematischen Wissenschaften, Band 171, Publishing House of the Academy of the Socialist Republic of Romania, Bucharest; Springer-Verlag, New York-Berlin, 1970. Translated from the Romanian by Radu Georgescu. MR 0270044, DOI 10.1007/978-3-662-41583-2
Bibliographic Information
- © Copyright 1982 American Mathematical Society
- 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