一个联系扩展Zeta函数的多参数Hilbert型积分不等式

A Multi-parameters Hilbert-Type Integral Inequality Related to Extended Zeta Function

利用权函数方法和实分析技巧,通过引入扩展的ζ-函数刻画常数因子,得到一个多参数Hilbert型积分不等式及其等价式,并讨论了其最佳值问题.

By using the way of weight function and the real analysis technique, and introducing the extended ζ-function to describe the constant factor, the author obtained a multi-parameters Hilbert-type integral inequality and its equivalent formula, and discussed the problem of their optimal values.