向量 p范数的凹凸性证明

Suppose p < 1 , p ≠ 0 p < 1, p \neq0 p<1,p̸​=0. Show that the function f ( x ) = ( ∑ i = 1 n x i p ) 1 p f(x) = (\sum_{i=1}^nx_i^p)^{\frac1p} f(x)=(i=1∑n​xip​)p1​ with d o m f = R n + + dom f =

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