Results 71 to 80 of about 137 (128)
FROM THE BRUNN–MINKOWSKI INEQUALITY TO A CLASS OF POINCARÉ-TYPE INEQUALITIES [PDF]
Communications in Contemporary Mathematics, 2008 We present an argument which leads from the Brunn–Minkowski inequality to a Poincaré-type inequality on the boundary of a convex body K of class [Formula: see text] in Rn. We prove that for every ψ ∈ C1(∂K)[Formula: see text] Here [Formula: see text] denotes the (n - 1)-dimensional Hausdorff measure, νK is the Gauss map of K and DνK is the ...
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On Gaussian Brunn-Minkowski inequalities
, 2008 In this paper, we are interested in Gaussian versions of the classical Brunn-Minkowski inequality. We prove in a streamlined way a semigroup version of the Ehrard inequality for $m$ Borel or convex sets based on a previous work by Borell. Our method also allows us to have semigroup proofs of the geometric Brascamp-Lieb inequality and of the reverse one
Barthe, Franck, Huet, Nolwen
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Dual
Journal of Inequalities and Applications, 2006 We establish some inequalities for the dual -centroid bodies which are the dual forms of the results by Lutwak, Yang, and Zhang. Further, we establish a Brunn-Minkowski-type inequality for the polar of dual -centroid bodies.
Bin Xiong, Wuyang Yu, Lin Si
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Horocyclic Brunn-Minkowski inequality
Advances in MathematicsGiven two non-empty subsets $A$ and $B$ of the hyperbolic plane $\mathbb{H}^2$, we define their horocyclic Minkowski sum with parameter $λ=1/2$ as the set $[A:B]_{1/2} \subseteq \mathbb{H}^2$ of all midpoints of horocycle curves connecting a point in $A$ with a point in $B$.
Assouline, Rotem, Klartag, Bo'az
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Brunn–Minkowski Inequalities for Sprays on Surfaces
The Journal of Geometric AnalysisAbstractWe propose a generalization of the Minkowski average of two subsets of a Riemannian manifold, in which geodesics are replaced by an arbitrary family of parametrized curves. Under certain assumptions, we characterize families of curves on a Riemannian surface for which a Brunn–Minkowski inequality holds with respect to a given volume form.
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Brunn–Minkowski inequality for mixed intersection bodies
Journal of Mathematical Analysis and Applications, 2005 In 1985 Lutwak introduced the notion of mixed projection bodies and obtained the Brunn-Minkowski inequality for these bodies. In this paper the authors prove the corresponding inequality for mixed intersection bodies. Besides its intrinsic interest this result is also an interesting example showing the duality between projection and intersection bodies.
Zhao, Chang-jian, Leng, Gangsong
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Divergence Measures: Mathematical Foundations and Applications in Information-Theoretic and Statistical Problems. [PDF]
Entropy (Basel), 2022 Sason I.
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Discrete Brunn–Minkowski inequality for subsets of the cube
Combinatorica25 pages. References added.
Lars Becker +3 more
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Interpolating log-determinant and trace of the powers of matrix A + t B. [PDF]
Stat Comput, 2022 Ameli S, Shadden SC.
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Sobolev-to-Lipschitz property on QCD -spaces and applications. [PDF]
Math Ann, 2022 Dello Schiavo L, Suzuki K.
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