Abstract
New affine invariant functionals for convex polytopes are introduced. Some sharp affine isoperimetric inequalities are established for the new functionals. These'new inequalities lead to fairly strong volume estimates for projection bodies. Two of the new affine isoperimetric inequalities are extensions of Ball's reverse isoperimetric inequalities.
Original language | English (US) |
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Pages (from-to) | 1767-1779 |
Number of pages | 13 |
Journal | Transactions of the American Mathematical Society |
Volume | 353 |
Issue number | 5 |
DOIs | |
State | Published - 2001 |
Keywords
- Affine isoperimetric inequalities
- Asymptotic inequalities
- Projection bodies
- Reverse isoperimetric inequalities
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics