TY - JOUR
T1 - A Class of Schur Convex Functions and Several Geometric Inequalities
AU - Wang , Wen
AU - Yang , Shiguo
JO - Communications in Mathematical Research 
VL - 3
SP - 199
EP - 210
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.03.02
UR - https://global-sci.org/intro/article_detail/cmr/18923.html
KW - Schur convex function, Schur geometrically convex function, Schur harmonically convex function, simplex, geometric inequality.
AB - <p style="text-align: justify;">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.</p>