Abstract
We construct polynomial approximations for continuous functions f defined on a quasi-smooth (in the sense of Lavrentiev) arc L in the complex plane which simultaneously interpolate f and its derivatives at given points of L.
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Communicated by Stephan Ruscheweyh.
Dedicated to the memory of G.G. Lorentz.
The work of the first author was supported in part by the Alexander von Humboldt Foundation and by NSF grant DMS-0554344 and was conducted while visiting the Katholische Universität Eichstätt-Ingolstadt.
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Andrievskii, V.V., Blatt, HP. Polynomial Approximation of Functions on a Quasi-Smooth Arc with Hermitian Interpolation. Constr Approx 30, 121–135 (2009). https://doi.org/10.1007/s00365-008-9040-0
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DOI: https://doi.org/10.1007/s00365-008-9040-0