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The functional Orlicz–Brunn–Minkowski inequality for q‐torsional rigidity
Mathematika, 2023In this paper, we obtain the functional Orlicz–Brunn–Minkowski inequality and the functional Orlicz–Minkowski inequality for q‐torsional rigidity in the smooth category.
Jin-Rong Hu, Pingyuan Zhang
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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
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On the Log-Minkowski Inequality for Simplices and Parallelepipeds
Acta Mathematica Hungarica, 2018M. Henk, H. Pollehn
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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.
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Minkowski–Clarkson’s type inequalities
Analysis, 2021Abstract 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.
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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), 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
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Refinements of the Brunn-Minkowski Inequality
Journal of Convex Analysis, 2014The Brunn-Minkowski theorem says that \mathrm{vol}\bigl((1-\lambda)K+\lambda L\bigr)^{1/n} v o
Hernández Cifre, María A. +1 more
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, 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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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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On Reverse Minkowski-Type Inequalities
Mediterranean Journal of Mathematics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, C, Cheung, WS
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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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