Conditie non-standard (IMAR '05)

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Filip Chindea
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Conditie non-standard (IMAR '05)

Post by Filip Chindea »

Fie \( a, b, c > 0 \) cu \( abc \ge 1 \). Aratati ca \( \sum \frac{1}{1 + b + c} \le 1 \).
Life is complex: it has real and imaginary components.
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Marius Mainea
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Post by Marius Mainea »

\( abc=l\ge1 \) Notam \( A=\frac{a}{\sqrt[3]{l}} \) si analoagele. Avem ABC=1.

\( a\geq A\\\\b\ge B\\c\ge C \) si e suficient sa aratam ca \( \sum\frac{1}{1+A+B}\le1 \).
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