INEQUALITIES FOR CONVEX SETS
PAUL R. SCOTT
AND POH WAH AWYONG
DEPARTMENT OF PURE MATHEMATICS,
UNIVERSITY OF ADELAIDE,
S.A. 5005 AUSTRALIA.
DIVISION OF MATHEMATICS,
NATIONAL INSTITUTE OF EDUCATION,
469 BUKIT TIMAH ROAD, SINGAPORE 259756
Received 29 November, 1999; accepted 4 February,
Communicated by C.E.M.
ABSTRACT. This paper collects together known
inequalities relating the area, perimeter, width, diameter,
inradius and circumradius of planar convex sets. Also, a
technique for finding new inequalities is stated and
2000 Mathematics Subject