On asphericity of convex bodies

DOI10.3103/S1066369X15020061zbMath1321.52005OpenAlexW2086648195MaRDI QIDQ2356574

E. Meshcheryakova, S. I. Dudov

Publication date: 30 July 2015

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x15020061

zbMATH Keywords

quasiconvexitysubdifferentialconvex bodyasphericityuniform bound

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

Systematization of problems on ball estimates of a convex compactum ⋮ Uniform estimation of a convex body by a fixed-radius ball ⋮ Uniqueness of centers of nearly spherical bodies ⋮ 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 ⋮ THE ISOPERIMETRIC QUOTIENT OF A CONVEX BODY DECREASES MONOTONICALLY UNDER THE EIKONAL ABRASION MODEL

Cites Work

• Subdifferentiability and superdifferentiability of distance functions
• Asphericity of shadows of a convex body
• Uniform estimate of a compact convex set by a ball in an arbitrary norm
• Minimal Shell of a Typical Convex Body
• Relations between several problems of estimating convex compacta by balls
• The initial convergence rate of adaptive methods for polyhedral approximation of convex bodies
• Optimization and nonsmooth analysis
• $ M$-strongly convex subsets and their generating sets
• Convex Analysis
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