一个推广的Hilbert类不等式及应用

On a Generalization of the Hilbert’s Type Inequality and its Applications

引入单参数λ,给一个积分型Hilbert类不等式以具有最佳常数因子的推广。作为应用,建立它的等价形式及对应二重级数的最佳推广不等式。

By introducing a parameter λ, we give a generalization of the Hilbert’s type integral inequality with a best constant factor. As applications, we build its equivalent form and the analogue general double series inequalities.