On best quadratic triangle inequalities |
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| Authors: | Robert Frucht Murray S. Klamkin |
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| Affiliation: | 1. Universidad Técnica Santa María, Valparaiso, Chile
2. Ford Motor Company, Scientific Research Staff, 48121, Dearborn, Mich., USA
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| 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. |
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