Uniform estimation of a convex body by a fixed-radius ball

DOI10.1007/s10957-015-0782-0zbMath1354.52009OpenAlexW953770336MaRDI QIDQ346807

S. I. Dudov, M. A. Osiptsev

Publication date: 30 November 2016

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-015-0782-0

zbMATH Keywords

Hausdorff metricsubdifferentialconvex bodydistance functionuniform estimate

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Approximation by convex sets (52A27)

Related Items (3)

Approximation of convex bodies by multiple objective optimization and an application in reachable sets ⋮ Characterization of solutions of strong-weak convex programming problems ⋮ Spherical shell of the boundary of a compact set with a minimum cross-sectional area formed by a two-dimensional plane

Cites Work

• Subdifferentiability and superdifferentiability of distance functions
• On asphericity of convex bodies
• Relations between several problems of estimating convex compacta by balls
• Optimization and nonsmooth analysis
• Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
• Method for finding an approximate solution of the asphericity problem for a convex body
• Convex Analysis
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