Glossary - Inequalities

1. Trivial Inequality:
If x is any real number, we have:  
This seems 'trivial' but is the basis for every other inequality

2. Mean Inequality
Let   be n positive numbers. Then    where







Sophie inequality





3. Triangle Inequality

4. Weistras's Inequality

5. Cauchy-Schwarz Inequality

6. Tchebycheff's Inequality

7. Holders Inequality

8. Ptolemy's Inequality

9. The Parellelogram Inequality

11. Toricelli's (or Fermat's) point for maxima/minima

12. Leibniz's Theorem

13. The Erodos-Modell Inequality

14. Jensen's Inequality