AM-GM inequality and some applications

Abstract

Inequality is a sharp tool of Mathematics. Equality and inequality are two means of supporting each other. The equation gives absolutely accurate results. More flexible inequalities allow considering problems, estimating results, thereby viewing mathematical practice from a broader perspective. In this article, I would like to introduce the AM-GM inequality, which is a familiar and widely applicable inequality. It is the first inequality that needs to be remembered very clearly and used proficiently.