This will not be an exhaustive list but will be updated continuously to include as much inequalities in different area of mathematics and their corollary. This is the list that I will be following. Major focus will be given towards proof and their applications.

https://en.wikipedia.org/wiki/List_of_inequalities

Number Theory

- Wilson’s Theorem . [1]

Analysis

- Cauchy’s Inequality. [1] [2 – more elegant ]
- Jensen’s Inequality [1]
- Log-Sum Inequality [1]

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