Bernoulli不等式的证明及应用

Proofings on bernoulli inequality and applications

利用极值定理、Lagrange中值定理探求了Bernoulli不等式的两种证明方法。介绍了Bernoulli不等式在证明相关的指数不等式、级数收敛性的判别、证明函数的单调性等方面的广泛应用。

In the paper,using Lagrange mid-value theorem,extremum Bernoulli theorem,the two methods of inequality are explored.Introduceing the application of the related Bernoulli inequality in proof converges,inequality index of proof,monotonicity of functions,etc.