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Multivariate polynomial approximation of powers of the Euclidean distance function

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Publication:937240
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DOI10.1007/s00365-006-0671-2zbMath1151.41024OpenAlexW2009634626MaRDI QIDQ937240

Christiane Kraus

Publication date: 20 August 2008

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

Full work available at URL: https://doi.org/10.1007/s00365-006-0671-2


zbMATH Keywords

elliptic differential equationsbest approximantholomorphic continuabilityBernstein approximation theorem


Mathematics Subject Classification ID

Multidimensional problems (41A63)


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Bernstein-Walsh type theorems for real analytic functions in several variables ⋮ A new constructive and elementary proof of a Bernstein-Walsh theorem, improved to infinite order convergence, for functions \(C^\infty\) in an intricate but smooth two-dimensional real domain



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