Results 21 to 30 of about 50 (49)

Some inequalities for asymmetric Lp-mean zonoids1

, 2019
Based on the notion of Lp-mean zonoids which is introduced by Xi, Guo and Leng, we dene the notion of asymmetric Lp-mean zonoids and establish its an affine inequality. Further, we give the extremal values for volume, quermassintegrals of this notion and
Li, Tian, Wang, Weidong
core  

The mixed Lp affine surface areas for functions

, 2019
In this paper, we propose a definition of a general mixed Lp affine surface area, -n ≠ p ∈ ℝ, for multiple functions. Our denfiition is different from and is "dual" to the one in [11] by Caglar and Ye.
Zhu, Baocheng, Xing, Sudan
core  

Orlicz-Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms

, 2018
In this paper, we extend the Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms to an Orlicz setting and an Orlicz-Brunn- Minkowski inequality for radial Blaschke-Minkowski homomorphisms is established.
Zhao, Chang-Jian
core  

Kinematic Formulae for Support Measures of Convex Bodies

, 2007
. A new kinematic formula for the support measures of convex bodies is proved. The underlying operation is the convex hull operation for pairs of convex bodies.
Stefan Glasauer
core  

A Generalization of Intersection Formulae of Integral Geometry

, 1997
. We establish extensions of the Crofton formula and, under some restrictions, of the principal kinematic formula of integral geometry from curvature measures to generalized curvature measures of convex bodies. We also treat versions for finite unions of
Stefan Glasauer
core  

Metric regularity, strong CHIP, and CHIP are distinct properties

, 2007
Metric regularity, the strong conical hull intersection property (strong CHIP), and the conical hull intersection property (CHIP) are properties of a collection of finitely many closed convex intersecting sets in Euclidean space.
Heinz Bauschke, Jonathan M. Borwein, Paul Tseng   +2 more
core  

On Maximal Primitive Fixing Systems

, 1996
. Let ae max (M) denote the maximal number of points forming a primitive fixing system for a convex body M ae R n . Sharpening results of B. Bollob'as with respect to the quantity ae max (M) for n 3, we construct counterexamples to the conjecture
Vladimir Boltyanski, Horst Martini
core  

On p-radial Blaschke and harmonic Blaschke additions. [PDF]

J Inequal Appl, 2017
Zhao CJ.
europepmc   +1 more source

Translative and Kinematic Integral Formulae Concerning the Convex Hull Operation

. For convex bodies K;K 0 and a translation ø in n-dimensional Euclidean space, let K øK 0 be the convex hull of the union of K and øK 0 . Let F be a geometric functional on the space of all convex bodies.
Stefan Glasauer
core  

On the regularity of solutions to a generalization of the Minkowski problem

Journal of Differential Geometry, 1995
Erwin Lutwak, Vladimir Oliker
exaly