一个新的多参数Hilbert型积分不等式及其逆

A New Hilbert-Type Integral Inequality with Some Parameters and Its Reverses

引入多参数λ1,λ2,α和β-函数,利用权系数和实分析的方法,建立一个新的多参数Hilbert型积分不等式及其等价式,证明了它们的常数因子是最佳的,并考虑了其逆向不等式.

By introducing some parameters：λ1 ,λ2,α and β-function, and using the way of weight coefficient and the method of real analysis, a new Hilbert-type integral inequality with some parameters is given. The equivalent form is considered and their constant factors are proved to be the best possible, and its reverses are considered.