A Comprehensive Definition of the Geometric Mean of Convex Bodies Based on Relations Between Their $p$-Means
Fuente:
arXiv
Saved in:
| Main Authors: | Brandenberg, René, Grundbacher, Florian |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Tightening Inequalities on Volume Extremal $k$-Ellipsoids Using Asymmetry Measures
by: Brandenberg, René, et al.
Published: (2024)
by: Brandenberg, René, et al.
Published: (2024)
Jung-type Inequalities and Blaschke-Santaló Diagrams for Different Diameter Variants
by: Brandenberg, René, et al.
Published: (2023)
by: Brandenberg, René, et al.
Published: (2023)
On the minimal area of quadrangles circumscribed about planar convex bodies
by: Fodor, Ferenc, et al.
Published: (2025)
by: Fodor, Ferenc, et al.
Published: (2025)
On Certain Extremal Banach-Mazur Distances and Ader's Characterization of Distance Ellipsoids
by: Grundbacher, Florian, et al.
Published: (2024)
by: Grundbacher, Florian, et al.
Published: (2024)
A Sharp Bound on Large Planar Signed Vector Sums
by: Grundbacher, Florian
Published: (2025)
by: Grundbacher, Florian
Published: (2025)
John-type decompositions for affinely-optimal positions of convex bodies
by: Grundbacher, Florian, et al.
Published: (2026)
by: Grundbacher, Florian, et al.
Published: (2026)
Exact Banach-Mazur distances of certain $\ell_p$-sums and cones
by: Grundbacher, Florian, et al.
Published: (2026)
by: Grundbacher, Florian, et al.
Published: (2026)
On Axial Symmetry in Convex Bodies
by: Goenka, Ritesh, et al.
Published: (2023)
by: Goenka, Ritesh, et al.
Published: (2023)
From Circles to Convex Bodies: Approximating Curved Shapes by Polytopes
by: Hoehner, Steven
Published: (2025)
by: Hoehner, Steven
Published: (2025)
Convexity of Radial Mean Bodies via an extension of Ball's Bodies
by: Langharst, Dylan
Published: (2026)
by: Langharst, Dylan
Published: (2026)
A strengthening of the Blaschke-Santaló inequality for $o$-symmetric planar convex bodies
by: Böröczky, Károly J., et al.
Published: (2026)
by: Böröczky, Károly J., et al.
Published: (2026)
The Complex Illumination Problem
by: Rotem, Liran, et al.
Published: (2024)
by: Rotem, Liran, et al.
Published: (2024)
On The Fourier Mean Bodies of a Convex Body
by: Langharst, Dylan, et al.
Published: (2026)
by: Langharst, Dylan, et al.
Published: (2026)
A note on the affine plank conjecture
by: Bakaev, Egor, et al.
Published: (2026)
by: Bakaev, Egor, et al.
Published: (2026)
Convex bodies of constant width with exponential illumination number
by: Arman, Andrii, et al.
Published: (2023)
by: Arman, Andrii, et al.
Published: (2023)
The Weighted $L^p$ Minkowski Problem
by: Langharst, Dylan, et al.
Published: (2024)
by: Langharst, Dylan, et al.
Published: (2024)
Surface areas of equifacetal polytopes inscribed in the unit sphere $\mathbb{S}^2$
by: Freeman, Nicolas, et al.
Published: (2022)
by: Freeman, Nicolas, et al.
Published: (2022)
A solution to Bezdek's conjecture
by: Drach, Kostiantyn, et al.
Published: (2025)
by: Drach, Kostiantyn, et al.
Published: (2025)
Non-continuous valuations on convex bodies and a new characterization of volume
by: Marcos, Jorge S. Ibáñez, et al.
Published: (2025)
by: Marcos, Jorge S. Ibáñez, et al.
Published: (2025)
General Higher Order $L^p$ Mean Zonoids
by: Langharst, Dylan, et al.
Published: (2023)
by: Langharst, Dylan, et al.
Published: (2023)
Dowker-type theorems for disk-polygons in normed planes
by: Basit, Bushra, et al.
Published: (2023)
by: Basit, Bushra, et al.
Published: (2023)
Variants of a theorem of Macbeath in finite dimensional normed spaces
by: Lángi, Z., et al.
Published: (2025)
by: Lángi, Z., et al.
Published: (2025)
Curves with increasing chords in normed planes
by: Lángi, Zsolt, et al.
Published: (2025)
by: Lángi, Zsolt, et al.
Published: (2025)
Blaschke operations on log-concave functions and affine isoperimetric inequalities
by: Chasioti, Effrosyni, et al.
Published: (2026)
by: Chasioti, Effrosyni, et al.
Published: (2026)
Infinitesimal rigidity and prestress stability for frameworks in normed spaces
by: Dewar, Sean
Published: (2021)
by: Dewar, Sean
Published: (2021)
General Measure Extensions of Projection Bodies
by: Langharst, Dylan, et al.
Published: (2021)
by: Langharst, Dylan, et al.
Published: (2021)
Illuminating 1-unconditional convex bodies in ${\mathbb R}^3$ and ${\mathbb R}^4$, and certain cases in higher dimensions
by: Sun, Wen Rui, et al.
Published: (2024)
by: Sun, Wen Rui, et al.
Published: (2024)
On the illumination of 1-symmetric convex bodies
by: Sun, Wen Rui, et al.
Published: (2024)
by: Sun, Wen Rui, et al.
Published: (2024)
Spherical coverings and X-raying convex bodies of constant width
by: Bondarenko, A., et al.
Published: (2020)
by: Bondarenko, A., et al.
Published: (2020)
On a Santaló point for Nakamura-Tsuji's Laplace transform inequality
by: Cordero-Erausquin, Dario, et al.
Published: (2024)
by: Cordero-Erausquin, Dario, et al.
Published: (2024)
Complex and Quaternionic Analogues of Busemann's Random Simplex and Intersection Inequalities
by: Saroglou, Christos, et al.
Published: (2024)
by: Saroglou, Christos, et al.
Published: (2024)
Geometric inequalities, stability results and Kendall's problem in spherical space
by: Hug, Daniel, et al.
Published: (2017)
by: Hug, Daniel, et al.
Published: (2017)
Inequalities for sections and projections of log-concave functions
by: Tziotziou, Natalia
Published: (2025)
by: Tziotziou, Natalia
Published: (2025)
On averaged self-distances in finite dimensional Banach spaces
by: Lakos, Gyula
Published: (2024)
by: Lakos, Gyula
Published: (2024)
Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations
by: Bernig, Andreas, et al.
Published: (2023)
by: Bernig, Andreas, et al.
Published: (2023)
Strengthened inequalities for the mean width and the $\ell$-norm of origin symmetric convex bodies
by: Böröczky, Károly J., et al.
Published: (2024)
by: Böröczky, Károly J., et al.
Published: (2024)
Illumination number of 3-dimensional cap bodies
by: Arman, Andrii, et al.
Published: (2025)
by: Arman, Andrii, et al.
Published: (2025)
Strengthened inequalities for the mean width and the $\ell$-norm
by: Böröczky, Károly J., et al.
Published: (2020)
by: Böröczky, Károly J., et al.
Published: (2020)
On the $m\mathrm{th}$-Order Weighted Projection Body Operator and Related Inequalities
by: Langharst, Dylan, et al.
Published: (2023)
by: Langharst, Dylan, et al.
Published: (2023)
Sylvester's problem for beta-type distributions
by: Gusakova, Anna, et al.
Published: (2024)
by: Gusakova, Anna, et al.
Published: (2024)
Similar Items
-
Tightening Inequalities on Volume Extremal $k$-Ellipsoids Using Asymmetry Measures
by: Brandenberg, René, et al.
Published: (2024) -
Jung-type Inequalities and Blaschke-Santaló Diagrams for Different Diameter Variants
by: Brandenberg, René, et al.
Published: (2023) -
On the minimal area of quadrangles circumscribed about planar convex bodies
by: Fodor, Ferenc, et al.
Published: (2025) -
On Certain Extremal Banach-Mazur Distances and Ader's Characterization of Distance Ellipsoids
by: Grundbacher, Florian, et al.
Published: (2024) -
A Sharp Bound on Large Planar Signed Vector Sums
by: Grundbacher, Florian
Published: (2025)