Re: [分析] 證明 r(1-u^r)≦(1-u)^r

[Sfly (topos)]

※ 引述《iddee ()》之銘言：
: 0≦u≦1, 0≦r≦1
: 證明 r(1-u^r)≦(1-u)^r

As 0<=u,r <=1, we have  u^r+(1-u)^r >= u + (1-u) =1.
So (1-u)^r  >= 1-u^r >= r(1-u^r).

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