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
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。
Abstract:
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.
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