International Mathematics Competition
for University Students
2016

Select Year:


IMC 2019
Information
  Results/Prizes
  Problems & Solutions
  Photos
 

IMC2016: Day 2, Problem 7

7. Today, Ivan the Confessor prefers continuous functions $f:[0,1]\to\mathbb{R}$ satisfying $f(x)+f(y)\geq |x-y|$ for all pairs $x,y\in [0,1]$. Find the minimum of $\int_0^1 f$ over all preferred functions.

Proposed by Fedor Petrov, St. Petersburg State University

        

 

IMC
2016

© IMC