Polar duals of convex bodies

Loading...
Thumbnail Image
Authors
Ghandehari, Mostafa
Subjects
polar duals
convex bodies
Advisors
Date of Issue
1990-01
Date
1990-01
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
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. (JHD)
Type
Technical Report
Description
Series/Report No
Department
Identifiers
NPS Report Number
NPS-53-90-002
Sponsors
Naval Postgraduate School, Monterey, CA
Funder
O&MN Direct Funding
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
Collections