The mixed Lp affine surface areas for functions
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Publication:4632410
DOI10.2989/16073606.2018.1444678zbMath1502.52007OpenAlexW2790562451MaRDI QIDQ4632410
Publication date: 29 April 2019
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2989/16073606.2018.1444678
functional inequalityBlaschke-Santaló inequalityaffine surface areageominimal surface areaaffine isoperimetric inequality
Functional inequalities, including subadditivity, convexity, etc. (39B62) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Affine differential geometry (53A15)
Related Items (2)
Some \(\log\)-Minkowski inequalities for \(L_p\)-mixed affine surface area ⋮ Some inequalities for the (p, q)-mixed affine surface areas
Cites Work
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- Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality
- Rényi divergence and \(L_p\)-affine surface area for convex bodies
- \(L_p\) mixed geominimal surface area
- \(\mathrm{SL}(n)\) invariant valuations on polytopes
- Affine isoperimetric inequalities in the functional Orlicz-Brunn-Minkowski theory
- Extended affine surface area
- Increasing functions and inverse Santaló inequality for unconditional functions
- Inequalities for mixed \(p\)-affine surface area
- General affine surface areas
- A direct proof of the functional Santaló inequality
- Partitions and functional Santaló inequalities
- A convexity principle for interacting gases
- On the \(p\)-affine surface area
- Geominimal surface area
- Surface bodies and \(p\)-affine surface area
- The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
- A characterization of affine surface area
- New Orlicz affine isoperimetric inequalities
- Some functional forms of Blaschke-Santaló inequality
- New \(L_p\) affine isoperimetric inequalities
- Divergence for \(s\)-concave and log concave functions
- Geometry of log-concave functions and measures
- \(L_{p}\)-mixed affine surface area
- Functional Versions ofLp-Affine Surface Area and Entropy Inequalities
- ISOPERIMETRIC INEQUALITIES FOR Lp GEOMINIMAL SURFACE AREA
- Inequalities for general mixed affine surface areas
- Relative entropy of cone measures and L p centroid bodies
- The mixed $L_p$ geominimal surface areas for multiple convex bodies
- The Orlicz-Petty bodies
- Mixed ƒ-divergence for Multiple Pairs of Measures
- Mixedf-divergence and inequalities for log-concave functions
- Lp Geominimal Surface Areas and their Inequalities
- Convex Bodies The Brunn-MinkowskiTheory
- Relative entropies for convex bodies
- On $L_p$-affine surface areas
- Approximation of the Euclidean ball by polytopes
- The Santaló point of a function, and a functional form of the Santaló inequality
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