Polynomial approximation of functions on a quasi-smooth arc with Hermitian interpolation

DOI10.1007/S00365-008-9040-0zbMath1175.30005OpenAlexW1977415307MaRDI QIDQ836086

Hans-Peter Blatt, Vladimir V. Andrievskii

Publication date: 31 August 2009

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-008-9040-0

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Polynomials and rational functions of one complex variable (30C10)

Related Items (1)

Exact order of pointwise estimates for polynomial approximation with Hermite interpolation

Cites Work

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• A general direct theorem on approximation of functions of class \(C^r\) by algebraic polynomials with Hermitian interpolation
• Pointwise approximation by algebraic polynomials
• Constructive characterization of classes of continuous functions of a set \(\mathfrak M\subset\mathbb{C}\) for the \(k-th\) modulus of continuity
• On the theory of approximation of functions on closed sets of the complex plane (with reference to a problem of S. M. Nikol'skii)
• Interpolatory pointwise estimates for polynomial approximation
• Simultaneous approximation and interpolation of functions on continua in the complex plane.
• Strong and ordinary summability
• Constructive characteristic of continuous functions defined on smooth arcs
• APPROXIMATION CHARACTERIZATION OF CLASSES OF FUNCTIONS ON CONTINUA OF THE COMPLEX PLANE
• A theorem of gopengauz type with added interpolatory conditions

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