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几个不等式的概率函数证明方法
Proofs of Several Inequalities Using Probability Function
【摘要】 数学上某些不等式若运用确定性数学方法进行证明是比较困难的,而运用随机方法进行证明则较为简易。利用概率论的基本性质、随机概率模型、函数的凹凸性、分布列以及概率密度较为系统地论述了不等式证明中的一些概率方法,总结了应用概率的思想证明不等式的技巧。
【Abstract】 It’s difficult to use confirmed ways in the proof of inequality.But it will be easy if we use random method.We use the basic character of probability and the model of probability and concavity and convexity of the function,also we can use the column of distribution and probability density.We will discuss some probability methods in proving inequalities systematically and sum up the thought of method and ratification of probability applying testifies.
【关键词】 分布列;
概率函数;
数学期望;
随机概率模型;
随机变量;
【Key words】 distribution column; mathematics expectation; probability density immediately probability model inequality;
【Key words】 distribution column; mathematics expectation; probability density immediately probability model inequality;
- 【文献出处】 安庆师范学院学报(自然科学版) ,Journal of Anqing Teachers College(Natural Science Edition) , 编辑部邮箱 ,2010年04期
- 【分类号】O211
- 【被引频次】2
- 【下载频次】356