关于反向的Hardy-Hilbert积分不等式

On a reverse of Hardy-Hilbert′s integral inequality

引入单参数λ及β函数,应用权函数的方法,建立反向的H ardy-H ilbert积分不等式,并证明其常数因子是最佳值.作为应用,导出其等价不等式及一些特殊结果.

By introducing a parameter λ and the β function and using the way of weight func tion, we give a reverse of Hardy-Hilbert＇s inequality with a best constant factor. As applica tions, we consider the equivalent form and some particular results.