Bonnesen-Style Inequalities for Minkowski Relative Geometry

DOI10.2307/2000768zbMath0652.52010OpenAlexW4250414019MaRDI QIDQ3797809

J. R. Sangwine-Yager

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000768

zbMATH Keywords

isoperimetric inequalitymixed volumeconvex bodycircumradiusunit ballinradiusquermassintegralBonnesen inequalityinner parallel bodyMinkowski relative geometry

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items

Intersections of dilatates of convex bodies, Quasi-concave functions and convex convergence to infinity, The role of the kernel in Bonnesen-style inradius inequalities, On Bonnesen-style symmetric mixed isohomothetic inequality in \(\mathbb{R}^2\), On differentiability of quermassintegrals, Bonnesen-style inequalities and pseudo-perimeters for polygons, On the location of roots of Steiner polynomials, On a reverse isoperimetric inequality for relative outer parallel bodies, Differentiability of quermassintegrals: A classification of convex bodies, The Wills conjecture, Notes on the roots of Steiner polynomials, On isoperimetric inequalities in Minkowski spaces, On the estimation of the medial axis and inner parallel body, Extensions of an inequality of Bonnesen to d-dimensional space and curvature conditions for convex bodies, Minkowski's successive minima and the zeros of a convexity-function, A new counterexample to Sangwine-Yager's conjecture, A sausage body is a unique solution for a reverse isoperimetric problem, On Blaschke's extension of Bonnesen's inequality, Evolving plane curves by curvature in relative geometries, Some Bonnesen-style Minkowski inequalities, On the Minimal Annulus of Triangles and Parallelograms

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