\(L_{p}\)-Aleksandrov-Fenchel inequality (Q2644011)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L_{p}\)-Aleksandrov-Fenchel inequality |
scientific article |
Statements
\(L_{p}\)-Aleksandrov-Fenchel inequality (English)
0 references
27 August 2007
0 references
The authors obtain inequalities for \(L_p\) dual volumes of polars of mixed projection bodies, which are formally analogous to the Aleksandrov-Fenchel inequalities for mixed volumes of convex bodies and to Brunn-Minkowski type inequalities. The proofs combine classical inequalities for mixed volumes with the Hölder inequality and Minkowski's integral inequality.
0 references
mixed projection body
0 references
polar mixed projection body
0 references
\(L_p\)-dual volume
0 references
Aleksandrov-Fenchel inequality
0 references
