Polar duals of convex bodies
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Author
Contributions
- Naval Postgraduate School (U.S.). Dept. of Mathematics - Contributor
Publication
1990 - Available from National Technical Information Service, Monterey, Calif, California
Language
English
Word Count
4,000 words, Guess
Page Count
16 pages
Identifiers
- Internet Archivepolardualsofconv00ghan
- Open LibraryOL33201339M
Alternate Titles
- NPS-53-90-002.
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)
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