Integral representations of quermass-integrals and Bonnesen-Style inequalities

DOI10.1007/BF01202503zbMath0576.52005OpenAlexW2016122764MaRDI QIDQ1065361

Erhard Heil, Jürgen Bokowski

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01202503

zbMATH Keywords

isoperimetric inequalitycircum-sphereMinkowski integral formulaquermassintegrals of a convex body

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Surfaces in Euclidean and related spaces (53A05)

Related Items (21)

Bonnesen-style inequalities on surfaces of constant curvature ⋮ Translative containment measure and symmetric mixed isohomothetic inequalities ⋮ Bonnesen-style symmetric mixed inequalities ⋮ On Bonnesen-style symmetric mixed isohomothetic inequality in \(\mathbb{R}^2\) ⋮ Random Symmetrizations of Convex Bodies ⋮ Reverse Bonnesen-style inequalities on surfaces of constant curvature ⋮ Reverse Bonnesen style inequalities in a surface \(\mathbb{X}_\epsilon ^2\) of constant curvature ⋮ On Bonnesen-type inequalities for a surface of constant curvature ⋮ The Bonnesen isoperimetric inequality in a surface of constant curvature ⋮ Some Bonnesen-style inequalities for higher dimensions ⋮ Unnamed Item ⋮ The Wills conjecture ⋮ Bonnesen-style Wulff isoperimetric inequality ⋮ On containment measure and the mixed isoperimetric inequality ⋮ Extensions of an inequality of Bonnesen to d-dimensional space and curvature conditions for convex bodies ⋮ Extremal problems and isotropic positions of convex bodies ⋮ Bonnesen-Style Inequalities for Minkowski Relative Geometry ⋮ A sausage body is a unique solution for a reverse isoperimetric problem ⋮ On Blaschke's extension of Bonnesen's inequality ⋮ Some Bonnesen-style Minkowski inequalities ⋮ On the Minimal Annulus of Triangles and Parallelograms

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• Bonnesen-Style Isoperimetric Inequalities
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