×

Generalization of Yang-Zhang’s inequalities and applications. (Chinese. English summary) Zbl 1150.51310

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
PDFBibTeX XMLCite