MARC record from Internet Archive

LEADER: 01554nam 2200277 a 45 0
001 a199446
008 980625s1990 caua b f000|0 eng d
040 $aCMontNP$cCMontNP
086 0 $aD 208.14/2:NPS-53-90-002
100 1 $aGhandehari, Mostafa.
245 10 $aPolar duals of convex bodies /$cMostafa Ghandehari.
260 $aMonterey, Calif. :$bNaval Postgraduate School ;$aSpringfield, Va. :$bAvailable from National Technical Information Service,$c[1990]
300 $a16 p. :$bill. ;$c28 cm.
500 $aTitle from cover.
500 $a"NPS-53-90-002."
500 $a"January 1990."
500 $aAD A218 081.
504 $aIncludes bibliographical references (p. 13-14).
520 $aA 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)
592 $aaq/aq cc:9116 06/25/98
650 4 $aCONVEX BODIES.
650 4 $aINEQUALITIES.
710 2 $aNaval Postgraduate School (U.S.).$bDept. of Mathematics.
740 01 $aNPS-53-90-002.
926 $aNPS-LIB$bDIGIPROJ$cD 208.14/2:NPS-53-90-002$dBOOK$eNEVER$f1
926 $aNPS-LIB$bFEDDOCS$cD 208.14/2:NPS-53-90-002$dBOOK$f2