Accession Number:

ADA218081

Title:

Polar DuaLs of Convex Bodies

Descriptive Note:

Technical rept. Jul-Sep 1989

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

Report Date:

1990-01-01

Pagination or Media Count:

20.0

Abstract:

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE