|
|||||
|
|
On best quadratic triangle inequalities |
|
| Authors: | Robert Frucht Murray S. Klamkin |
| Affiliation: | 1. Universidad Técnica Santa María, Valparaiso, Chile 2. Ford Motor Company, Scientific Research Staff, 48121, Dearborn, Mich., USA |
| Abstract: | Contrary to published results, it is shown that there do not exist ‘strongest’ (or ‘best possible’) homogeneous quadratic polynomial triangle inequalities of the form $$q(R,r) leqslant s^2 leqslant Q(R,r)$$ without further restrictions. Also, several best inequalities for symmetric functions of three positive variables are considered. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |