Results 191 to 200 of about 1,275 (224)

On Reverse Minkowski-Type Inequalities

Mediterranean Journal of Mathematics, 2014
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Zhao, C, Cheung, WS
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THE ISOLATION FORM OF BRUNN-MINKOWSKI INEQUALITY AND MINKOWSKI INEQUALITY IN L_p SPACE

Far East Journal of Mathematical Sciences (FJMS), 2017
Summary: 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
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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
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Inequalities of Gauß-Minkowski type

1997
An 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., Pecaric, Josip, Varosanec, Sanja   +2 more
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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
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Orlicz log-Minkowski inequality

Differential Geometry and its Applications, 2021
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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.
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Inequalities for radial Blaschke–Minkowski homomorphisms

Annales Polonici Mathematici, 2015
The 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
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L p Brunn–Minkowski type inequalities for Blaschke–Minkowski homomorphisms

Geometriae Dedicata, 2012
In the paper under review, some Brunn-Minkowski type inequalities for (radial) Blaschke-Minkowski homomorphisms with respect to (radial) \(L_p\) Minkowski addition are established (Theorems 1.1 and 1.2). Moreover, the author proves the dual Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms with respect to radial \(L_p\) Minkowski ...
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Convexity and Minkowski's Inequality

The American Mathematical Monthly, 2005
(2005). Convexity and Minkowski's Inequality. The American Mathematical Monthly: Vol. 112, No. 8, pp. 740-742.
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