Prove that f(x+y)>=f(x+ty), if f(x+y) is concave function and t>1.

Aliyah Thompson

Aliyah Thompson

Answered question

2022-11-14

Prove that f ( x + y ) f ( x + t y ), if f ( x + y ) is concave function and t > 1.

Answer & Explanation

embutiridsl

embutiridsl

Beginner2022-11-15Added 26 answers

Fix t > 1.
Then in the inequality coming from the definition of f being concave, replace y with x + t y and set λ = t 1 t

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