Stability and Rate of Convergence of the Steiner Symmetrization

2015/05/12 by Florentin, D. I., Segal, A.
#26B15 #26D10 #52A23 #52A38 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1505.03550

Abstract

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 a known stability property of the Steiner symmetrization.

Related

• Rate of convergence of geometric symmetrizations
• Steiner symmetrization using a finite set of directions
• Steiner symmetrization along a certain equidistributed sequence of directions
• Random symmetrizations of convex bodies
• Applications of Steiner symmetrization to some extremal problems in geometric function theory