一个问题的极值推广

mathe

算错了，这个边界肯定没有反例

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quote]算错了，这个边界肯定没有反例
mathe 发表于 2010-6-23 15:06 [/quote]


呵,
$f := sqrt((a^k+b^k+c^k)*(1/a^k+1/b^k+1/c^k))$
>g1 := subs$(k = 2, a = 0.7832207464149386807291631345, b= $$0.7832207464149386807291631345, c = 1, f)$  $=3.080129867$
> g2 := subs$(k = 1, a = 0.7832207464149386807291631345, b =$ $0.7832207464149386807291631345, c = 1, f*(f-2))$ $=3.080132455$