关于一个较为精密的Hilbert型不等式的推广

On an extension of a more accurate Hilbert-type inequality

通过引入两个参量λ,α和两对共轭指数(p,q),(r,s),建立了一个推广的、具有最佳常数因子的较为精密的Hilbert型不等式.作为应用,建立它的一个等价式.

By introducing two parameters λ,α and two pairs of conjugate exponent, an extension of a more accurate Hilbert-type inequality with the best constant factor is given. The equivalent form is considered for the applications.