Results 171 to 180 of about 32,897 (198)

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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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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Hölder’s Inequality, Minkowski’s Inequality and Their Variants

2012
In this chapter we’ll introduce two very useful inequalities with broad practical usage: Holder’s inequality and Minkowski’s inequality. We’ll also present few variants of these inequalities. For that purpose we will firstly introduce the following theorem.
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The L-Brunn-Minkowski inequality for p < 1

Advances in Mathematics, 2020
Yong Huang, Qi-Rui Li, Jiakun Liu
exaly  

The anisotropic p-capacity and the anisotropic Minkowski inequality

Science China Mathematics, 2021
Chao Xia
exaly  

The Brunn--Minkowski inequality and a Minkowski problem for ?-harmonic Green's function

Advances in Calculus of Variations, 2021
Murat Akman, Olli Saari
exaly  

An inequality related to Minkowski type for Sugeno integrals

Information Sciences, 2010
Yao Ouyang, Hamzeh Agahi
exaly  

Quantitative stability for the Brunn–Minkowski inequality

Advances in Mathematics, 2017
Alessio Figalli
exaly