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) : Ghandehari, Mostafa


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a218081.pdf


Report Date : Jan 1990


Pagination or Media Count : 20


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.


Descriptors :   *INEQUALITIES , *CONVEX BODIES , WIDTH , CROSS SECTIONS , SHARPNESS


Subject Categories : Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE