Titlebook: Discrepancy of Signed Measures and Polynomial Approximation; Vladimir V. Andrievskii,Hans-Peter Blatt Book 2002 Springer Science+Business

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Special Topics,In this chapter we consider the approximation of a piecewise analytic function on touching domains by polynomials and the convergence of Bieberbach polynomials in domains with quasiconformal boundary. We have already used some of the results of this chapter in previous sections.

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Discrepancy of Signed Measures and Polynomial Approximation978-1-4757-4999-1Series ISSN 1439-7382 Series E-ISSN 2196-9922

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https://doi.org/10.1007/978-3-662-33842-1. supported on . with .(.) = 1. Since .[..]= ? log cap ., the energy .[.] is positive for all positive Borel measures . on . if 0 < cap . < 1. Consequently, for such .,.Thus, the total mass .(.) can be estimated by its energy.

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