Is the following function concave? f(x):=min_(b in B)D(x,b)

Lilah Hurst

Lilah Hurst

Answered question

2022-10-26

Is the following function concave?
f ( x ) := min b B D ( x , b )

Answer & Explanation

flasheadita237m

flasheadita237m

Beginner2022-10-27Added 17 answers

No, take D ( x , y ) = | x y | and b = [ 0 , 1 ], then f ( x ) = min { | x | , | x 1 | } is neither convex nor concave.

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