Affine isoperimetric inequalities in the functional Orlicz-Brunn-Minkowski theory

Autor: Caglar, Umut, Ye, Deping
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we develop a basic theory of Orlicz affine and geominimal surface areas for convex and $s$-concave functions. We prove some basic properties for these newly introduced functional affine invariants and establish related functional affine isoperimetric inequalities as well as functional Santal\'o type inequalities.
Comment: The paper has a new title and has been revised completely
Databáze: arXiv