具有多参数的Hilbert型逆向不等式

A Reverse Hilbert's Type Inequality with Multi-Parameters

中文关键词:  Hilbert型不等式  H\"{o}der不等式  权函数.

英文关键词:Hilbert's type inequality  H\"{o}lder's inequality  weight function.

中文摘要:

      本文通过引入多个参数和估计权函数的方法,给出了一个具有最佳常数因子的Hilbert型逆向不等式.作为应用,建立了它的等价式并获得了一些特殊结果.

英文摘要:

      By introducing some parameters and estimating the weight function, we obtain a reverse Hilbert's type inequality with the best constant factor. As its applications, we build its equivalent form and some particular results.