GENERALIZATIONS OF SEVERAL INEQUALITIES RELATED TO MULTIVARIATE GEOMETRIC MEANS

Bo-Yan Xi (1) , Ying Wu (1) , Huan-Nan Shi (2) , Feng Qi (3, 4)

1 Inner Mongolia University for Nationalities
2 Beijing Union University
3 Henan Polytechnic University
4 Tianjin Polytechnic University

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

Mots clés: multivariate geometric mean; majorization; elementary symmetric function; inequality; Schur-geometrically convex function; Schur-convex function

Domaines: Analyse classique [math.CA]; Mathématiques générales [math.GM]

Bo-Yan Xi, Ying Wu, Huan-Nan Shi, Feng Qi. GENERALIZATIONS OF SEVERAL INEQUALITIES RELATED TO MULTIVARIATE GEOMETRIC MEANS. Mathematics , 2019, 7 (6), 15 p. ⟨10.3390/math7060552⟩. ⟨hal-01865896v2⟩