A. Segal

collaborators

4 papers

math.FA2019

On the Linear Structures Induced by the Four Order Isomorphisms Acting on $Cvx_{0} (R^{n})$

Dan I. Florentin, Alexander Segal

It is known that the volume functional $ϕ \mapsto \int e^{- ϕ}$ satisfies certain concavity or convexity inequalities with respect to three of the four linear structures induced b…

math.FA2019

A Santaló-type Inequality for the $J$ Transform

Dan I. Florentin, Alexander Segal

This paper deals with an analog of the Mahler volume product related to the $J$ transform acting in the class of geometric convex functions $Cvx_{0} (R^{n})$ . We…

math.MG2015

Stability and Rate of Convergence of the Steiner Symmetrization

D. I. Florentin, A. Segal

We present a direct analytic method towards an estimate for the rate of convergence (to the Euclidean Ball) of Steiner symmetrizations. To this end we present a modified version of…

math.MG2015

Minkowski Symmetrizations of Star Shaped Sets

Dan Itzhak Florentin, Alexander Segal

We provide sharp upper bounds for the number of symmetrizations required to transform a star shaped set in $R^{n}$ arbitrarily close (in the Hausdorff metric) to the Euclid…

On the Linear Structures Induced by the Four Order Isomorphisms Acting on Cvx0​(Rn)

A Santaló-type Inequality for the J Transform

Stability and Rate of Convergence of the Steiner Symmetrization

Minkowski Symmetrizations of Star Shaped Sets

On the Linear Structures Induced by the Four Order Isomorphisms Acting on $Cvx_{0} (R^{n})$

A Santaló-type Inequality for the $J$ Transform