Let A !sube R^n( A is compact). Consider f:R^n->R_+^n cup {0} is continuous map. Suppose that for all a in A , alpha|->f(alpha) is concave positive function.

Brianna Schmidt

Brianna Schmidt

Answered question

2022-10-28

Let A R n ( A is compact). Consider f : R n R + n { 0 } is continuous map. Suppose that for all a A , α f ( α ) is concave positive function.

Answer & Explanation

Kristin Myers

Kristin Myers

Beginner2022-10-29Added 12 answers

The statement is wrong. Here is a counterexample.
Let A = ( 1 , 1 ), f ( x ) = max ( 1 | x | , 0 ), β n = 1 + 1 n . Then β n 1, f ( β n ) 0.

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