Title: Polar duals of convex bodies
Description: A generalization and the dual version of the following result due to Firey is given: The      mixed area of a plane convex body and its polar dual is at least Pi. We give a sharp      upper bound for the product of the dual cross- sectional measure of any index and that of      its polar dual. A general result for a convex body Kappa and a convex increasing real      valued function gives inequalities for sets of constant width and sets with equichordal      points as special cases. Keywords: Polar duals; Convex bodies. (JHD)
Subjects: CONVEX BODIES, INEQUALITIES