An edition of Polar duals of convex bodies
(1990)
Polar duals of convex bodies
by Mostafa Ghandehari
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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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CONVEX BODIES, INEQUALITIES| Edition | Availability |
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Polar duals of convex bodies
1990, Naval Postgraduate School, Available from National Technical Information Service
in English
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Book Details
Edition Notes
Title from cover.
"NPS-53-90-002."
"January 1990."
AD A218 081.
Includes bibliographical references (p. 13-14).
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