On Functional Stability of the Solutionfor the Problem of Convex Body Best Approximating by a Ball with Fixed Radius

DOI10.18500/1816-9791-2015-15-3-273-279zbMath1331.52010OpenAlexW3094591296MaRDI QIDQ2787926

S. I. Dudov, M. A. Osiptsev

Publication date: 7 March 2016

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18500/1816-9791-2015-15-3-273-279

zbMATH Keywords

stabilityHausdorff metricconvex bodydistance function

Mathematics Subject Classification ID

Linear programming (90C05) Approximation by convex sets (52A27)

Cites Work

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• Potential \(\text Ш\) for abelian varieties
• Uniform estimate of a compact convex set by a ball in an arbitrary norm
• On an Inner Estimate of a Convex Body by the Lebesgue Set of Convex Differentiable Function
• On the Distribution of Analytic Values on Quadratic Twists of Elliptic Curves
• Relations between several problems of estimating convex compacta by balls

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