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Geometric Inequalities for Plane Convex Bodies

Published online by Cambridge University Press:  20 November 2018

G. D. Chakerian
G. D. Chakerian*
Affiliation:
Department of Mathematics, University of California, Davis, Ca. 95616
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 1 , 01 March 1979 , pp. 9 - 16
Copyright
Copyright © Canadian Mathematical Society 1979

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