Hilbert型不等式的一个推广

A Generalization of Hilbert-Type Inequality

通过引入两对共轭指数(p,q)和(r,s),应用权系数方法给出了一个新的带有最佳常数的级数型Hibert不等式的推广,同时给出相应的等价形式.

By introducing two pairs of conjugate（p,q） and（r,s）,we give a generalization of Hilbert infinite series inequality with the best constant factor with the method of weight coefficients.As application,the corresponding equivalent form is given.