摘要
利用数学归纳法 ,给出了Laplace不等式的一个新的多元数组及多参数的推广 ,同时 ,推广了切比雪夫不等式 ,并结合利用算术———几何平均值不等式和幂平均不等式 ,研究了推广结论的一组推论和八个特例。
By virtue of mathematical induction,the paper gives a new generalization of Laplace inequality,which contains a poly-variable number classes and poly-parameter,meanwhile,generalizes Chebychev inequality,and by taking advantage of arithmetic-geometric mean inequality and power mean inequality ,studies a series of corollaries and eight special cases of the generalized conclusion.
