Generalizations of Several Inequalities Related to Multivariate Geometric Means

Bo-Yan Xi, Ying Wu, Huan-Nan Shi and Feng Qi
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Bo-Yan Xi: College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, Inner Mongolia, China
Ying Wu: College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, Inner Mongolia, China
Huan-Nan Shi: Department of Electronic Information, Teacher’s College, Beijing Union University, Beijing 100011, China
Feng Qi: Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, Henan, China

Mathematics, 2019, vol. 7, issue 6, 1-15

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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