MathDB

5.3

Part of MathLinks Contest 7th

Problems(1)

0753

Source:

6/9/2008
If a≥b≥c≥d>0 a\geq b\geq c\geq d > 0 such that abcd\equal{}1, then prove that \frac 1{1\plus{}a} \plus{} \frac 1{1\plus{}b} \plus{} \frac 1{1\plus{}c} \geq \frac {3}{1\plus{}\sqrt[3]{abc}}.
logarithmsinequalitiessymmetryfunctioncalculusderivativeparameterization