A family of inequalities for convex sets
1979 ◽
Vol 20
(2)
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pp. 237-245
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Keyword(s):
Let K be a bounded, closed convex set in the euclidean plane. We denote the diameter, width, perimeter, area, inradius, and circumradius of K by d, w, p, A, r, and R respectively. We establish a number of best possible upper bounds for (w−2r)d, (w−2r)R,(w−2r)p, (w−2r)A in terms of w and r. Examples are:
1978 ◽
Vol 19
(1)
◽
pp. 131-133
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1980 ◽
Vol 21
(1)
◽
pp. 7-12
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Keyword(s):
1991 ◽
Vol 109
(2)
◽
pp. 405-417
◽
2015 ◽
Vol 99
(2)
◽
pp. 145-165
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Keyword(s):
1979 ◽
Vol 85
(1)
◽
pp. 1-16
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Keyword(s):
1994 ◽
Vol 56
(1)
◽
pp. 125-130
Keyword(s):
1980 ◽
Vol 22
(2)
◽
pp. 275-283
Keyword(s):
1966 ◽
Vol 18
◽
pp. 1294-1300
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Keyword(s):