Convex Bodies of Minimal Volume, Surface Area and Mean Width with Respect to Thin Shells
2008 ◽
Vol 60
(1)
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pp. 3-32
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Keyword(s):
AbstractGiven r > 1, we consider convex bodies in En which contain a fixed unit ball, and whose extreme points are of distance at least r from the centre of the unit ball, and we investigate how well these convex bodies approximate the unit ball in terms of volume, surface area and mean width. As r tends to one, we prove asymptotic formulae for the error of the approximation, and provide good estimates on the involved constants depending on the dimension.
1999 ◽
Vol 51
(2)
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pp. 225-249
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Keyword(s):
2011 ◽
Vol 152
(1)
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pp. 131-152
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Keyword(s):
2009 ◽
Vol 105
(1)
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pp. 147
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2018 ◽
Vol 70
(4)
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pp. 804-823
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Keyword(s):
1994 ◽
Vol 121
(3)
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pp. 807-807
2002 ◽
Vol 135
(4)
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pp. 279-304
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Keyword(s):
1967 ◽
Vol 19
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pp. 312-320
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Keyword(s):
1979 ◽
Vol 31
(1)
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pp. 9-16
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Keyword(s):