一个新的逆向Hilbert型不等式

A New Reverse Hilbert Inequality

Hilbert不等式倍受数学家的关注,并得到广泛应用。通过建立权系数不等式,得到一个新的逆向Hilbert型不等式,并证明其常数因子为最佳值,同时还考虑其等价形式。

Hilbert inequality has drawn a lot of attention from mathematicians and is widely used. Weight coefficient inequality is set up, which leads to a new reverse Hilbert inequality, and also proves its constant factor is the optimal values. Meanwhile, its equivalent form is considered.