Results 131 to 140 of about 1,239,021 (236)

A Generalization Of The Inequality Of Minkowski

, 2007
Let us suppose that the inequality is true for all the values less or equal to m.
openaire   +2 more sources

A Minkowski type inequality with free boundary in space forms [PDF]

In this paper, we consider a Minkowski inequality for a domain supported on any umbilical hypersurface with free boundary in space forms. We generalize the main result in \cite{Xia} into free boundary case and obtain a free boundary version of optimal ...
Guo, Jinyu
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The Brunn-Minkowski inequality for random sets

The Brunn-Minkowski inequality asserts a concavity feature of the volume functional under convex addition of sets. Among its applications has been Anderson's treatment of multivariate densities.
Vitale, Richard A.
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Gaussian Brunn-Minkowski inequalities

, 2020
. A detailed investigation is undertaken into Brunn-Minkowski-type inequalities for Gauss measure. A Gaussian dual Brunn-Minkowski inequality is proved, together with precise equality conditions, and shown to be best possible from several points of view.
Artem Zvavitch, Richard J Gardner
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An Equivalence of Dual Brunn-Minkowski Inequality for Volume Differences

, 2013
We establish an equivalence form of the dual Brunn-Minkowski inequality for volume differences, which was established in Geom.
Zhao, C, Cheung, WS
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On the Volume of the Minkowski Sum of Line Sets and the Entropy-Power Inequality

, 1997
We derive a Brunn-Minkowski-type inequality regarding the volume of the Minkowski sum of degenerate sets, namely, line sets. Let A 1 : : : An be one dimensional sets of unit length, and v 1 : : : v n vectors in R d , d n. Consider the Minkowski sum
Ram Zamir, Meir Feder
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Brunn-Minkowski Inequality for θ-Convolution Bodies via Ball's Bodies. [PDF]

J Geom Anal
Alonso-Gutiérrez D, Goñi JM.
europepmc   +1 more source

Stability of Minkowski-type inequalities in certain warped product spaces. [PDF]

J Evol Equ
Sahjwani P.
europepmc   +1 more source

Note on a Weighted Geometric Inequality in Hyperbolic Space. [PDF]

J Geom Anal
Xu B.
europepmc   +1 more source

A GENERALIZATION OF THE MATRIX FORM OF THE BRUNN-MINKOWSKI INEQUALITY

, 2007
In this paper, we establish an extension of the matrix form of the Brunn-Minkowski inequality. As applications, we give generalizations on the metric addition inequality of Alexander.
Jun Yuan, Gangsong Leng, A Rubinov
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