Results 191 to 200 of about 623,284 (221)

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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More on reverses of Minkowski’s inequalities and Hardy’s integral inequalities

Asian-European Journal of Mathematics, 2018
In 2012, Sulaiman [Reverses of Minkowski’s, Hölder’s, and Hardy’s integral inequalities, Int. J. Mod. Math. Sci. 1(1) (2012) 14–24] proved integral inequalities concerning reverses of Minkowski’s and Hardy’s inequalities.
Bouharket Benaissa
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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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Inequalities of Minkowski type

Real analysis exchange, 1994
Let f be a real nonnegative, nondecreasing function defined on segment a, b, and x_i are nonnegative nondecreasing functions with continuous first derivative. If p>1, then (\int_a^b (\sum_{; ; i=1}; ; ^n x_i^p(t))'f(t)dt)^{; ; 1/p}; ; \geq \sum_{; ; i=1}; ; ^n (\int_a^b (x_i^p(t))'f(t)dt)^{; ; 1/p}; ; .
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Companions to the Brunn–Minkowski inequality

Positivity
Let \(\mathcal{C}\) be the family of all compact convex sets in \(\mathbb{R}^n\). For \(A, B \in \mathcal{C}\) denote by \(\operatorname{Vol}(A)\) the Lebesque measure of \(A\) and by \(\Delta (A,B) = \big[\operatorname{Vol}(A)\big]^{1/n} + \big[\operatorname{Vol}(B)\big]^{1/n} - \big[\operatorname{Vol}(A + B)\big]^{1/n}\). An \((m + 1)\)-tuple \((B_0,
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A (⋆, ∗)-Based Minkowski’s Inequality for Sugeno Fractional Integral of Order α > 0

, 2015
A. Babakhani, H. Agahi, R. Mesiar
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Fast full search in motion estimation by hierarchical use of Minkowski's inequality (HUMI)

Pattern Recognition, 1998
Jinyun Lu, Kuang-Shyr Wu, Ja-Chen Lin
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Sensitivity Analysis of Fuzzy Signatures Using Minkowski’s Inequality

, 2015
I. Harmati, Á. Bukovics, L. Kóczy
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