Chebyshev总和不等式的加权推广及优美的积分形式  

Weighted Extension of Chebyshev’s Sum Inequality and Its Integral Forms

作　　者：朱先阳 

机构地区：[1]铜仁学院大数据学院,贵州 铜仁

出　　处：《理论数学》2022年第9期1411-1418,共8页Pure Mathematics

摘　　要：论文用普通的数学方法给出了Chebyshev总和不等式的加权推广,得到几个新的代数不等式,且依据定积分概念建立其优美的积分形式,最后,权函数为特殊函数时,获得了几个相关的应用。In this paper, the weighted extension of Chebyshev’s sum inequality is studied by using general mathematical method, some new algebraic inequalities are obtained, and its graceful integral forms are established according to the concept of definite integral. Finally, when the weight function is a special function, several applications are obtained.

关 键 词：Chebyshev总和不等式 加权推广 积分形式 

分 类 号：O211[理学—概率论与数理统计]