一个核为零齐次的Hilbert级数型不等式及其逆

A Hilbert -Type Series Inequality and the Reverses with the Homogeneous Kernels of Degree 0

摘要: 通过引入参数和应用权函数的方法，建立了一个具有最佳常数因子的核为零齐次的Hilbert级数型不等式及其等价形式，并得到它的逆式及等价式．

Abstract: By introducing some parameters and using the way of weight functions， a new Hilbert-type series-inequality and its equivalent form are given with the homogeneous kernel of zero degree and a best constant factor．The reverses and the equivalent forms are also considered．