Geometric Inequalities for Plane Convex Bodies
- 1 March 1979
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 22 (1) , 9-16
- https://doi.org/10.4153/cmb-1979-002-3
Abstract
In what follows we shall mean by a plane convex body K a compact convex subset of the Euclidean plane having nonempty interior. We shall denote by h (K, θ) the supporting function of K restricted to the unit circle. This measures the signed distances from the origin to the supporting line of K with outward normal (cos θ, sin θ). The right hand and left hand derivatives of h (K, θ) exist everywhere and are equal except on a countable set.Keywords
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