一个积分型的Hilbert定理的改进

A Refinement of the Integral Type Hilbert′s Inequality

中文关键词:  Hilbert不等式  权函数  H?lder不等式

英文关键词:Hilbert′s inequality  weight function  H?lder′s inequality.

中文摘要:

      本文证明如下权函数的不等式：对任意实数ｘ＞０及ｒ＞１．从而改进了积分型的Ｈｉｌｂｅｒｔ定理

英文摘要:

      This paper proves the following inequality of the weight function is true. Then the integral type Hilbert′s theorem is refined.