A Class of Schur Convex Functions and Several Geometric Inequalities

Authors

  • Wen Wang
  • Shiguo Yang

DOI:

https://doi.org/10.13447/j.1674-5647.2015.03.02

Keywords:

Schur convex function, Schur geometrically convex function, Schur harmonically convex function, simplex, geometric inequality.

Abstract

Schur convexity, Schur geometrical convexity and Schur harmonic convexity of a class of symmetric functions are investigated. As consequences some known inequalities are generalized. In addition, a class of geometric inequalities involving $n$-dimensional simplex in $n$-dimensional Euclidean space $E^n$ and several matrix inequalities are established to show the applications of our results.

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Published

2021-05-14

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Issue

Vol. 31 No. 3 (2015)

Section

Articles

How to Cite

A Class of Schur Convex Functions and Several Geometric Inequalities. (2021). Communications in Mathematical Research, 31(3), 199-210. https://doi.org/10.13447/j.1674-5647.2015.03.02