The characteristic properties of the minimal \(L_p\)-mean width

DOI10.1155/2017/2943073zbMath1369.52007OpenAlexW2663878052WikidataQ59146382 ScholiaQ59146382MaRDI QIDQ2360757

Tong Yi Ma

Publication date: 12 July 2017

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/2943073

zbMATH Keywords

convex bodiesminimal \(L_p\)-mean width

Mathematics Subject Classification ID

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

Related Items (2)

Strengthened inequalities for the mean width and the ℓ‐norm ⋮ The minimal Orlicz mean width of convex bodies

Cites Work

• Unnamed Item
• Unnamed Item
• The \(i\)th \(p\)-affine surface area
• Dual Orlicz-Brunn-Minkowski theory
• Rényi divergence and \(L_p\)-affine surface area for convex bodies
• \(\mathrm{SL}(n)\) invariant valuations on polytopes
• Extremum problems for the cone volume functional of convex polytopes
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Projection problems for symmetric polytopes
• General affine surface areas
• Ellipsoids and matrix-valued valuations
• Extremal problems and isotropic positions of convex bodies
• A new ellipsoid associated with convex bodies
• The discrete planar \(L_0\)-Minkowski problem
• \(L_ p\) affine isoperimetric inequalities.
• Positions of convex bodies associated to extremal problems and isotropic measures
• Surface bodies and \(p\)-affine surface area
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Extremal problems related to Gauss-John position
• A stability result for mean width of \(L_{p}\)-centroid bodies
• The minimal Orlicz surface area
• New \(L_p\) affine isoperimetric inequalities
• Orlicz-Legendre ellipsoids
• A new affine invariant for polytopes and Schneider’s projection problem
• Centro-Affine Invariants for Smooth Convex Bodies
• Relative entropy of cone measures and L _p centroid bodies
• Isotropic surface area measures
• $L_p$ John Ellipsoids
• On the $L_{p}$-Minkowski problem
• Fourier transform and Firey projections of convex bodies
• The generalized L_p-Winternitz problem
• Centroid bodies and comparison of volumes

This page was built for publication: The characteristic properties of the minimal \(L_p\)-mean width