Results 141 to 150 of about 652 (179)
Some of the next articles are maybe not open access.
Minkowski–Bellman inequality and equation
Automatica, 2021The paper offers characterizations for the Minkowski-Bellman functions and the corresponding optimal set-valued control maps, with real possibilities of extensions to the parametric uncertain linear systems.
openaire +2 more sources
Orlicz–Brunn–Minkowski inequalities for Blaschke–Minkowski homomorphisms
Geometriae Dedicata, 2016The paper is concerned with Brunn-Minkowski-type inequalities for Blaschke-Minkowski homomorphisms and their polars with respect to Orlicz addition.
Chen, Feixiang, Leng, Gangsong
openaire +2 more sources
On Reverse Minkowski-Type Inequalities
Mediterranean Journal of Mathematics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, C, Cheung, WS
openaire +3 more sources
THE ISOLATION FORM OF BRUNN-MINKOWSKI INEQUALITY AND MINKOWSKI INEQUALITY IN L_p SPACE
Far East Journal of Mathematical Sciences (FJMS), 2017Summary: This article is devoted to the study of inequality form of segregation. First, we establish the isolate forms of the Brunn-Minkowski inequality for the dual \(p\)-quermassintegrals of the dual Firey linear combination. Then we give the isolate forms of the new dual \(L_p\)-Brunn-Minkowski inequality for dual quermassintegrals of the \(L_p ...
Xie, Fengfan, Yin, Qian
openaire +2 more sources
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
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
Inequalities of Gauß-Minkowski type
1997An integral version of Ostrowski"s inequality is given. Also, some other generalization of that inequality in connection with Gauss" and Minkowski"s type inequalities are given.
Pearce, Charles E. M. +2 more
openaire +2 more sources
The Dual $$\phi $$-Brunn–Minkowski Inequality
Mediterranean Journal of Mathematics, 2021Let \(K, L\subset\mathbb{R}^n\) 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
Orlicz log-Minkowski inequality
Differential Geometry and its Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
A Brunn–Minkowski-Type Inequality
Geometriae Dedicata, 1999For 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
Inequalities for radial Blaschke–Minkowski homomorphisms
Annales Polonici Mathematici, 2015The main goal of the paper is to prove \(L_p\) Brunn-Minkowski inequalities for radial Blaschke-Minkowski homomorphisms. Let \(V\) denote the volume and \(\hat{+}_p\) be the \(L_p\) harmonic radial sum. The authors prove that for star bodies \(K,L\), \(p\geq 1\) and \(\Psi\) a Blaschke-Minkowski homomorphism, the following inequality holds: \[ V(\Psi(K\
Wei, Bo, Wang, Weidong, Lu, Fenghong
openaire +2 more sources