Results 31 to 40 of about 73 (69)
A Helmholtz–Lie Type Characterization of Ellipsoids II
, 2008 . A closed convex surface S in IE d is an ellipsoid if and only if for any x, y ∈ S there is an affinity mapping x onto y and a neighbourhood of x in S onto a neighbourhood of y in S. Keywords.
Monika Ludwig, Peter M. Gruber
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New duality results for evenly convex optimization problems. [PDF]
Optimization, 2021 Fajardo MD, Grad SM, Vidal J.
europepmc +1 more source
The (p, q)-mixed geominimal surface areas
, 2019 The (p, q)-mixed geominimal surface areas are introduced. A special case of the new concept is the Lp geominimal surface area introduced by Lutwak. Related inequalities, such as affine isoperimetric inequality, monotonous inequality, cyclic inequality ...
He, Binwu, Feng, Yibin
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Some inequalities for Lp radial Blaschke-Minkowski homomorphisms1
, 2019 The notion of radial Blaschke-Minkowski homomorphisms was presented by Schuster. Afterwards, Wang et al. introduced Lp radial Blaschke-Minkowski homomorphisms.
Wang, Weidong, Chen, Bin
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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
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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
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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
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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
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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
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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 +2 more
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