A dimension-dependent approximate Carathéodory theorem yields explicit contraction rates for Delaunay mesh refinement that exceed those of standard subdivision.
Inequalities of Bernstein–Jackson type and the degree of compactness of operators in Banach spaces.Annales de l’Institut Fourier, 35(3):79–118, 1985
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Sharp approximate Carath\'eodory theorem and application to iterated Delaunay refinement
A dimension-dependent approximate Carathéodory theorem yields explicit contraction rates for Delaunay mesh refinement that exceed those of standard subdivision.