Results 151 to 160 of about 652 (179)

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 ...
openaire   +1 more source

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   +1 more source

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}; ; .
openaire   +1 more source

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,
openaire   +2 more sources

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.
openaire   +1 more source

Large inequality in international and intranational energy footprints between income groups and across consumption categories

Nature Energy, 2020
Yannick Oswald, Anne Elizabeth Owen, Julia K Steinberger   +2 more
exaly  

Inequality in early childhood: risk and protective factors for early child development

Lancet, The, 2011
Charles A Nelson, Helen Baker-Henningham, Betsy Lozoff   +2 more
exaly  

Inequality and the health-care system in the USA

Lancet, The, 2017
Steffie Woolhandler
exaly  

Population health in an era of rising income inequality: USA, 1980–2015

Lancet, The, 2017
Jacob Bor, Gregory H Cohen, Sandro Galea
exaly  

INEQUALITIES OF MINKOWSKI'S TYPE

Real Analysis Exchange, 1994
openaire   +1 more source