- Cezar Lupu, Cosmin Pohoata, About a nice inequality, Mathematical Reflections, 1 (2007). (Link to the journal’s PDF file)
We consider two proofs for Darij Grinberg’s a^2+b^2+c^2 + 2abc +1 \geq 2(ab+bc+ca), which lead us to solving several other three-variable inequalities: one from the Romanian National Mathematics Olympiad from 2004, one from the Romanian BMO 2005 Team Selection Tests, one from the Asian Pacific Mathematics Olympiad from 2004 and also one from the USA IMO 2000 Team Selection Tests.
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