Výsledky vyhledávání - "Segal, Alexander"

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On the Linear Structures Induced by the Four Order Isomorphisms Acting on ${\rm{Cvx}}_0({\mathbb R}^n)$

Autor: Florentin, Dan I., Segal, Alexander

It is known that the volume functional $\,\phi\mapsto\int e^{-\phi}\,$ satisfies certain concavity or convexity inequalities with respect to three of the four linear structures induced by the order isomorphisms acting on ${\rm{Cvx}}_0({\mathbb R}^n)$

Externí odkaz: http://arxiv.org/abs/1910.10268

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A Santal\'{o}-type Inequality for the ${\cal J}$ Transform

Autor: Florentin, Dan I., Segal, Alexander

This paper deals with an analog of the Mahler volume product related to the ${\cal J}$ transform acting in the class of geometric convex functions ${\rm{Cvx}}_0({\mathbb R}^n)$. We provide asymptotically sharp bounds for the quantity $s^{\cal J}(f) =

Externí odkaz: http://arxiv.org/abs/1910.10260

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Functional Brunn-Minkowski Inequalities Induced by Polarity

Autor: Artstein-Avidan, Shiri, Florentin, Dan I., Segal, Alexander

We prove a new family of inequalities, which compare the integral of a geometric convolution of non-negative functions with the integrals of the original functions. For classical inf-convolution, this type of inequality is called the Pr\'{e}kopa-Lein

Externí odkaz: http://arxiv.org/abs/1707.08732

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Minkowski Symmetrizations of Star Shaped Sets

Autor: Florentin, Dan Itzhak, Segal, Alexander

We provide sharp upper bounds for the number of symmetrizations required to transform a star shaped set in ${\mathbb R}^n$ arbitrarily close (in the Hausdorff metric) to the Euclidean ball.
Comment: 6 pages, 1 figure

Externí odkaz: http://arxiv.org/abs/1505.04151

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