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  • 1
    Electronic Resource
    Electronic Resource
    Order of approximation by electrostatic fields due to electrons (1985)
    Springer
    Constructive approximation 1 (1985), S. 121-135 
    Details
    ISSN: 1432-0940
    Keywords: 41 A 20 ; 30 E 10 ; Order of approximation ; Rational functions and electrostatic fields due to distribution of electrons ; Bers space ; Jordan domain ; Conformal mapping
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract LetD be a Jordan domain in the complex plane andA q (D) the Bers space with norm ∥ ∥ q . IfD is the unit disk, it is known that ∥S n 0∥2≥π/18, whereS n =∑ k=1 n l/(z−z nk ) withz nk ∈∂D, so that approximation in ∥ ∥ q ,q〈-2, is not possible. In this paper, we give an order of estimate of ∥f−S n ∥ q for 2〈q〈∞ when ∂D is a sufficiently smooth Jordan curve, and prove that this order of approximation is in general best possible.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01890026
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