Bonnesen-Style Inequalities for Minkowski Relative Geometry
Bonnesen-Style Inequalities for Minkowski Relative Geometry
Two Bonnesen-style inequalities are obtained for the relative inradius of one convex body with respect to another in n-dimensional space.Both reduce to the known planar inequality; one sharpens the relative isoperimetric inequality, the other states that a quadratic polynomial is negative at the inradius.Circumradius inequalities follow. I. Introduction.By a convex …