A note on Schur-concave functions

In this paper we consider a class of Schur-concave functions with some measure properties . The isoperimetric inequality and Brunn-Minkowsky’s inequality for such kind of functions are presented. Applications in geometric programming and optimization theory are also derived. MSC: 26B25, 26B15, 52A40. In this paper we consider a class of Schur-concave functions with some measure properties . The isoperimetric inequality and Brunn-Minkowsky’s inequality for such kind of functions are presented. Applications in geometric programming and optimization theory are also derived. MSC: 26B25, 26B15, 52A40.