Problem 415 (difficulty: 4/10)

Prove that if \(\displaystyle f\) is convex, then it can be obtained as the sum of a monotone increasing and a monotone decreasing function.

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government