Yang, Dinghua Generalization of Yang-Zhang’s inequalities and applications. (Chinese. English summary) Zbl 1150.51310 J. Math. Res. Expo. 27, No. 4, 925-932 (2007). Summary: In this paper, making use of Darboux’s theorem and the eigenvalue method, the famous Yang-Zhang’s inequalities are generalized to two completely directional mass-point systems in Euclidean space \(E^n\). A class of geometric inequalities are established, as its applications, some new triangular inequalities are given. MSC: 51M16 Inequalities and extremum problems in real or complex geometry Keywords:simplex; Yang-Zhang’s inequalities; Darboux theorem; geometric inequality PDFBibTeX XMLCite \textit{D. Yang}, J. Math. Res. Expo. 27, No. 4, 925--932 (2007; Zbl 1150.51310)