Generalization and sharpness of the power means inequality and their applications

  • Wu S
  • 2


    Mendeley users who have this article in their library.
  • 41


    Citations of this article.


In this paper, we generalize and sharpen the power means inequality by using the theory of majorization and the analytic techniques. Our results unify some optimal versions of the power means inequality. As application, a well-known conjectured inequality proposed by Janous et al. is proven. Furthermore, these results are used for studying a class of geometric inequalities for simplex, from which, some interesting inequalities including the refined Euler inequality and the reversed Finsler-Hadwiger type inequality are obtained. © 2005 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Elementary symmetric function
  • Geometric inequality
  • Majorization
  • Power means inequality
  • Schur-convex function
  • Simplex

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Shanhe Wu

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free