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Best approximation in the mean by analytic and harmonic functions

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Publication:2733843
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DOI10.1512/IUMJ.2000.49.1787zbMath0971.41014arXivmath/9908154OpenAlexW1977199013MaRDI QIDQ2733843

John E. McCarthy, Dmitry Khavinson, Harold S. Shapiro

Publication date: 12 August 2001

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9908154



Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10)


Related Items (7)

Analytic balayage of measures, Carathéodory domains, and badly approximable functions in \(L^p\) ⋮ Continuity of extremal elements in uniformly convex spaces ⋮ Bergman-Hölder functions, area integral means and extremal problems ⋮ Carathéodory sets and analytic balayage of measures ⋮ Solution of extremal problems in Bergman spaces using the Bergman projection ⋮ Uniform approximation of extremal functions in weighted Bergman spaces ⋮ Some questions on \(L^1\)-approximation in Bergman spaces







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