Jensen's Inequality: How to solve math competition inequalities.

2023/08/19 に公開
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I go over a proof of the Jensen's Inequality and discuss some of its applications. I deduce the weighted AM-GM inequality along with the Power Mean inequality using Jensen's inequality.

Jensen's inequality and its consequences are commonly used in math competitions.

Another poof of the AM-GM inequality: https://youtu.be/ymKeddX61eA

Inequalities: https://www.youtube.com/playlist?list=PLvt4fmEPBjqrTh_CV1Ck3QP2jl5J4MAJA