Results 111 to 120 of about 543,197 (136)

Magnetic Brunn-Minkowski inequalities

32 pages, 4 ...
openaire   +1 more source

Orlicz-Brunn-Minkowski Inequality for Radial Blaschke-Minkowski Homomorphisms

Quaestiones Mathematicae, 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.
Chang-Jian Zhao
exaly   +1 more source

Some of the next articles are maybe not open access.

Related searches:

The Dual $$\phi $$-Brunn–Minkowski Inequality

Mediterranean Journal of Mathematics, 2021
Let \(K, L\subset\mathbb{R}^n\) be star bodies (i.e., star-shaped sets with respect to the origin, having continuous radial function), and let \(\rho_K\) and \(\rho_L\) be the radial functions of \(K\) and \(L\), respectively. Let \(\phi\in C^1((0,\infty))\) be strictly decreasing and concave, and assume that \(\log\circ\phi^{-1}\) is a convex function.
Shi, Wei, Li, Tian, Wang, Weidong
openaire   +1 more source

Refinements of the Brunn-Minkowski Inequality

Journal of Convex Analysis, 2014
The Brunn-Minkowski theorem says that \mathrm{vol}\bigl((1-\lambda)K+\lambda L\bigr)^{1/n} v o
Hernández Cifre, María A., Yepes Nicolás, Jesús   +1 more
openaire   +2 more sources

On a Discrete Brunn--Minkowski Type Inequality

SIAM Journal on Discrete Mathematics, 2018
The Brunn--Minkowski inequality states that the volume of compact sets $K,L\subset\mathbb{R}^n$ satisfies $\mathrm{vol}(K+L)^{1/n}\geq\mathrm{vol}(K)^{1/n}+\mathrm{vol}(L)^{1/n}$. In this paper we obtain two discrete analogs of it for the cardinality of finite subsets of the integer lattice ${\mathbb{Z}}^n$.
María A. Hernández Cifre, David Iglesias, Jesús Yepes Nicolás   +2 more
openaire   +2 more sources

A Brunn–Minkowski-Type Inequality

Geometriae Dedicata, 1999
For convex bodies \(K,L\) in \(\mathbb{R}^n\), let \(M(K,L): =\max_{x\in \mathbb{R}^n}|K\cap(x+L)|\) (where \(|\cdot|\) denotes volume). The author conjectures that \[ |K+L |^{1/n}\geq M(K,L)^{1/n} +{|K |^{1/n} |L|^{1/n}\over M(K,L)^{1/n}}, \] which would be a useful improvement of the Brunn-Minkowski theorem.
openaire   +2 more sources

Brunn-Minkowski inequality

2000
This section is basic for our further considerations and is devoted to those convex sets which lie in finite-dimensional topological vector spaces. As mentioned in the previous section, if E is an arbitrary finite-dimensional (Hausdorff) topological vector space, then E is isomorphic to some Euclidean space R n .
V. V. Buldygin, A. B. Kharazishvili
openaire   +1 more source

Stability of Inequalities in the Dual Brunn-Minkowski Theory

Journal of Mathematical Analysis and Applications, 1999
Stability versions are given of several inequalities from E. Lutwak's dual Brunn-Minkowski theory. These include the dual Aleksandrov-Fenchel inequality, the dual Brunn-Minkowski inequality, and the dual isoperimetric inequality.
Gardner, R.J., Vassallo, S.
exaly   +2 more sources

Companions to the Brunn–Minkowski inequality

Positivity
Let \(\mathcal{C}\) be the family of all compact convex sets in \(\mathbb{R}^n\). For \(A, B \in \mathcal{C}\) denote by \(\operatorname{Vol}(A)\) the Lebesque measure of \(A\) and by \(\Delta (A,B) = \big[\operatorname{Vol}(A)\big]^{1/n} + \big[\operatorname{Vol}(B)\big]^{1/n} - \big[\operatorname{Vol}(A + B)\big]^{1/n}\). An \((m + 1)\)-tuple \((B_0,
openaire   +2 more sources

More Generalizations of Hartfiel’s Inequality and the Brunn–Minkowski Inequality

Bulletin of the Iranian Mathematical Society, 2020
Let \(A,B\in\mathbb{C}^{n\times n}\) be positive definite. Minkowski's determinant inequality (also known as the matrix form of the Brunn-Minkowski inequality) states that \[ (\det{(A+B)})^\frac{1}{n}\ge(\det{A})^\frac{1}{n}+(\det{B})^\frac{1}{n}. \] It has several refinements and generalizations. Some of them are extended to sector matrices. A matrix \
Dong, Sheng, Wang, Qing-Wen
openaire   +1 more source