Mathematics，(2019), no. 6, 15 pages; available online at http://dx. doi.org/10.3390/math7060000.

Generalizations of Several Inequalities Related to Multivariate Geometric Means

Bo-Yan Xi , Ying Wu , Huan-Nan Shi , and Feng Qi 

Abstract: In the paper, by some methods in the theory of majorization, the authors generalize several inequalities related to multivariate geometric means. 

Keywords: Schur-convex function; Schur-geometrically convex function; elementary symmetric 

function; inequality; multivariate geometric mean; majorization 

MSC: Primary 26E60; Secondary 26D15, 26A51

2-Xi-Wu-Shi-Mit-M.pdf