Uniform estimate of a compact convex set by a ball in an arbitrary norm
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Publication:2710733
DOI10.1070/SM2000v191n10ABEH000513zbMath0981.52005MaRDI QIDQ2710733
I. V. Zlatorunskaya, S. I. Dudov
Publication date: 7 March 2002
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Convex programming (90C25) Inequalities and extremum problems involving convexity in convex geometry (52A40) Approximation by convex sets (52A27)
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Stability of best approximation of a convex body by a ball of fixed radius ⋮ Systematization of problems on ball estimates of a convex compactum ⋮ Unnamed Item ⋮ Properties of the distance function to strongly and weakly convex sets in a nonsymmetrical space ⋮ Approximation of continuous set-valued maps by constant set-valued maps with image balls ⋮ Method for finding an approximate solution of the asphericity problem for a convex body ⋮ On Functional Stability of the Solutionfor the Problem of Convex Body Best Approximating by a Ball with Fixed Radius ⋮ Spherical shell of the boundary of a compact set with a minimum cross-sectional area formed by a two-dimensional plane ⋮ On asphericity of convex bodies
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