Polar duals of convex bodies
By: Mostafa Ghandehari
Contributors: Naval Postgraduate School (U.S.). Dept. of Mathematics
Publisher: Naval Postgraduate School; Available from National Technical Information Service
Published: 1990
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Number of pages: 16
Subjects: CONVEX BODIES; INEQUALITIES
Other 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)
Notes: Title from cover.

"NPS-53-90-002."

"January 1990."

AD A218 081.

Includes bibliographical references (p. 13-14).