2 citations · 3 across the 15 of their papers we have counts for
5 papers · 1 filter
Stability of Order Preserving Transforms
D. I. Florentin, A. Segal
The purpose of this paper is to show stability of order preserving/reversing transforms on the class of non-negative convex functions in , and its subclass, the clas…
Identifying Set Inclusion by Projective Positions and Mixed Volumes
D. I. Florentin, V. D. Milman, A. Segal
We study a few approaches to identify inclusion (up to a shift) between two convex bodies in . To this goal we use mixed volumes and fractional linear maps. We prove…
Order Isomorphisms on Convex Functions in Windows
S. Artstein-Avidan, D. I. Florentin, V. D. Milman
In this paper we give a characterization of all order isomorphisms on some classes of convex functions. We deal with the class consisting of lower-semi-continuous convex f…
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…
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 arbitrarily close (in the Hausdorff metric) to the Euclid…