Mixed affine surface area

DOI10.1016/0022-247X(87)90097-7zbMath0632.52005MaRDI QIDQ1095407

Erwin Lutwak

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

mixed volumecurvature functionsmixed affine area

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Affine differential geometry (53A15)

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Dual Orlicz-Brunn-Minkowski theory: dual Orlicz \(L_{\phi}\) affine and geominimal surface areas ⋮ \((p,q)\)-mixed geominimal surface area and \((p,q)\)-mixed affine surface area ⋮ Contributions to affine surface area ⋮ \(L_{p}\)-mixed affine surface area ⋮ Some inequalities for geominimal surface areas ⋮ The generalized \(L_p\)-mixed affine surface area ⋮ $q$-Quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality ⋮ \(L_p\)-Steiner quermassintegrals ⋮ \(L_p\)-dual mixed affine surface areas ⋮ L_p-DUAL MIXED GEOMINIMAL SURFACE AREA ⋮ \(L_p\)-dual affine surface area ⋮ The \((q,{\phi})\)-dual Orlicz mixed affine surface areas ⋮ Some inequalities related to \((i,j)\)-type \(L_p\)-mixed affine surface area and \(L_p\)-mixed curvature image ⋮ A new type of Brunn-Minkowski inequality for affine surface area and its applications ⋮ Monotonicity inequalities for Blaschke-Minkowski homomorphisms ⋮ Mixedf-divergence and inequalities for log-concave functions ⋮ Inequalities for mixed \(p\)-affine surface area ⋮ A Steiner formula in the \(L_p\) Brunn Minkowski theory ⋮ Centered Bodies and Dual Mixed Volumes ⋮ Unnamed Item ⋮ Some \(\log\)-Minkowski inequalities for \(L_p\)-mixed affine surface area ⋮ Unnamed Item ⋮ Cyclic Brunn-Minkowski inequalities forp-affine surface area ⋮ Some inequalities for the (p, q)-mixed affine surface areas ⋮ The Brunn-Minkowski type inequalities for mixed brightness-integrals ⋮ New Orlicz affine isoperimetric inequalities ⋮ Extended affine surface area ⋮ The \(i\)th \(p\)-geominimal surface area ⋮ The \(i\)th \(p\)-affine surface area

Cites Work

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• Zur optimalen Approximation konvexer Hyperflächen durch Polyeder
• Polygonal approximation of plane convex bodies
• Geominimal surface area
• Dual mixed volumes
• Volume of Mixed Bodies
• Shapes of worn stones
• Random polytopes in a convex body
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