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Ona-Wright convexity and the converse of Minkowski's inequality
Janusz Matkowski
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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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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'S INEQUALITY FOR THE MINIMA ASSOCIATED WITH A CONVEX BODY
H. Davenport
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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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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
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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
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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.
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