The log-Aleksandrov-Fenchel inequality
DOI10.1007/s00009-020-01521-7zbMath1442.52006OpenAlexW3032454423MaRDI QIDQ2188291
Publication date: 10 June 2020
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-020-01521-7
mixed volumeAleksandrov-Fenchel inequalityMinkowski inequalitylogarithmic Minkowski inequality\(L_p\)-Aleksandrov-Fenchel inequality\(L_p\)-multiple mixed volume
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The log-Brunn-Minkowski inequality
- The dual log-Brunn-Minkowski inequalities
- The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
- On the log-Minkowski inequality for simplices and parallelepipeds
- The logarithmic Minkowski inequality for non-symmetric convex bodies
- \(L_ p\) affine isoperimetric inequalities.
- Orlicz-Aleksandrov-Fenchel inequality for Orlicz multiple mixed volumes
- Some logarithmic Minkowski inequalities for nonsymmetric convex bodies
- A mixed volumetry for the anisotropic logarithmic potential
- The $\varphi$-Brunn-Minkowski inequality
- The Brunn-Minkowski inequality for the \(n\)-dimensional logarithmic capacity of convex bodies
- Sharp affine \(L_ p\) Sobolev inequalities.
- Free Stein kernels and an improvement of the free logarithmic Sobolev inequality
- Log-Minkowski inequalities for the \(L_p\)-mixed quermassintegrals
- The logarithmic Minkowski problem for polytopes
- A new proof of the log-Brunn-Minkowski inequality
- Remarks on the conjectured log-Brunn-Minkowski inequality
- The log-Minkowski inequalities for quermassintegrals
- Polar Means of Convex Bodies and a Dual to the Brunn-Minkowski Theorem
- $p$-Means of Convex Bodies.
This page was built for publication: The log-Aleksandrov-Fenchel inequality