Application of Mathematical Expectation Inequality
Jing Liu · Journal of Hebei North University · 2008
Objective There are a lot of methods used to prove inequality by using differential calculus theory.This paper is about the methods of using probailitic theory to prove inequality.Methods Firstly structuring the probalilistic density function,then using mathematical expectation inequality E(η2)≥E2(η) to prove integral inequality.Results Using integral inequality some mathematical inequalities are proved.Conclusion Using probalilistic methods some mathematical inequalities can be proved easily.The key point is to structure a proper probalilistic density function before using the qualities of inequalities in probability.