A new approach to Steiner symmetrization of coercive convex functions

preprint2014arXivOpen access

Abstract

In this paper, a new approach of defining Steiner symmetrization of coercive convex functions is proposed and some fundamental properties of the new Steiner symmetrization are proved. Further, using the new Steiner symmetrization, we give a different approach to prove a functional version of the Blaschke-Santalo inequality due to Ball.

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