Results 171 to 180 of about 390,218 (207)

The failure of the Ehlers-Kundt conjecture in the impulsive case. [PDF]

Gen Relativ Gravit
Frauenberger ML, Grant JDE, Steinbauer R.   +2 more
europepmc   +1 more source

Hawking-Type Singularity Theorems for Worldvolume Energy Inequalities. [PDF]

Ann Henri Poincare
Graf M, Kontou EA, Ohanyan A, Schinnerl B.   +3 more
europepmc   +1 more source

The Brunn–Minkowski Inequality, Minkowski's First Inequality, and Their Duals

Journal of Mathematical Analysis and Applications, 2000
Let \(K,L\) be convex bodies in Euclidean space \(\mathbb{E}^n\) with volumes \(V(K)=V(L)=1\), and let \(V_1(K,L)\) denote the mixed volume \(V(K, \dots, K,L)\). Then \[ V(K+L)^{1/n} -2\leq V_1(K,L) -1\leq {1\over n}\bigl(V(K+L)-2^n \bigr). \] These inequalities provide a quantitative improvement of the known equivalence of the Brunn-Minkowski ...
Vassallo, Salvatore Flavio, Gardner, Richard J.   +1 more
exaly   +3 more sources

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Minkowski–Clarkson’s type inequalities

Analysis, 2021
Abstract In this paper, we give some Minkowski–Clarkson’s type inequalities related to two finite sequences of real nonnegative numbers. In particular, we prove two inequalities which in some sense can be regarded as inverse Minkowski’s inequalities concerning the cases
Alrimawi, Fadi, Abushaheen, Fuad A.
openaire   +1 more source

The Brunn–Minkowski Inequality for Volume Differences

Advances in Applied Mathematics, 2004
Suppose that \(K\), \(L\), \(D\), \(D'\) are compact domains in \(\mathbb{R}^n\) such that \(D\) and \(D'\) are homothetic and convex and \(D\subset K\), \(D'\subset L\). It is proved (in a more general form) that for the volume \(V\) one has \[ ((V(K+ L)- V(D+ D'))^{1/n}\geq (V(K)- V(D))^{1/n}+ (V(L)- V(D'))^{1/n}.
Gangsong Leng
exaly   +4 more sources

Minkowski–Bellman inequality and equation

Automatica, 2021
The 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   +3 more sources

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
openaire   +2 more sources

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.
openaire   +2 more sources

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
openaire   +2 more sources

On Reverse Minkowski-Type Inequalities

Mediterranean Journal of Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, C, Cheung, WS
openaire   +3 more sources