一个半离散非齐次核的Hilbert型不等式

摘要

引入独立参数,应用权函数的方法及实分析技巧,建立一个具有最佳常数因子的半离散非齐次核的Hilbert型不等式,还考虑了其具有最佳常数因子的等价形式.%By introducing independent parameters and applying the method of weight functions and technique of real analysis, a half-discrete Hilbert-type inequality with a non-homogeneous kernel and a best possible constant factor is provided.The equivalent forms with the best possible constant factors are considered.