Results 51 to 60 of about 813 (131)
The log-Brunn-Minkowski inequality and its local version
The conjectured log-Brunn-Minkowski inequality has attracted much interest since its introduction by Böröczky, Lutwak, Yang and Zhang in 2012. In this talk, I shall survey the connections between this inequality and various outstanding problems in ...
Putterman, Eli
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Inequalities of Aleksandrov body
A new concept of p-Aleksandrov body is firstly introduced. In this paper, p-Brunn-Minkowski inequality and p-Minkowski inequality on the p-Aleksandrov body are established.
Yan Hu, Junhua Jiang
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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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Brunn-Minkowski inequality and its aftermath. [PDF]
1 online resource (PDF, 33 pages)Das Gupta, Somesh. (1978). Brunn-Minkowski inequality and its aftermath..
Das Gupta, Somesh
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Orlicz Dual Brunn-Minkowski Theory: Addition, Dual Quermassintegrals, and Inequalities
We further consider the Orlicz dual Brunn-Minkowski theory. An Orlicz radial harmonic addition is introduced, which generalizes the Lp-radial addition and the Lp-harmonic addition to an Orlicz space, respectively.
Zhao, C +3 more
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On Minkowski's inequality and its application
In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Cheung Wing-Sum, Zhao Chang-Jian
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Orlicz-Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms
In this paper, we extend the Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms to an Orlicz setting and an Orlicz-Brunn- Minkowski inequality for radial Blaschke-Minkowski homomorphisms is established.
Zhao, Chang-Jian
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The Dual Hamilton–Jacobi Equation and the Poincaré Inequality
Following the equivalence between logarithmic Sobolev inequalities and hypercontractivity shown by L. Gross, and applying the ideas and methods of the work by Bobkov, Gentil and Ledoux, we would like to establish a new connection between the logarithmic ...
Rigao He +3 more
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The Brunn-Minkowski inequality
. In 1978, Osserman [124] wrote a rather comprehensive survey on the isoperimetric inequality. The Brunn-Minkowski inequality can be proved in a page, yet quickly yields the classical isoperimetric inequality for important classes of subsets of R n, and ...
Gardner, Richard J., R. J. Gardner
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A Brunn-Minkowski Type Theorem on the Minkowski Spacetime
In this article, we derive a Brunn-Minkowski type theorem for sets bearing some relation to the causal structure on the Minkowski spacetime . We also present an isoperimetric inequality in the Minkowski spacetime as a consequence of this Brunn-Minkowski
Hyoungsick Bahn, Paul Ehrlich
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