Techniques for inequalities of the form $f(x_1) + ... + f(x_n)$. Jensen, Karamata, tangent line trick. The $n-1$ equal value principle is deferred to Ineq Standard.

Summary

Inequalities that can be solved using standard functional techniques, Jensen, Karamata, n-1 EV, etc. Utilizes section 2 of Evan's Inequalities handout for reading. A shorter unit with low club requirement and club values.

Notable Problems

02MOP, a 5 club required problem.

97JPN, a classical application of the Tangent Line Trick.

16SLA1, a notorious inequality known for being very difficult for an A1.