一个零齐次核Hilbert型不等式的推广

AN EXTENSION OF A HILBERT-TYPE INEQUALITY WITH HOMOGENEOUS KERNEL OF ZERO-DEGREE

应用实分析方法以估算权系数,通过引入单参数α≥-3/4+33/12>-0.271 3,建立一个零齐次核的H ilbert型不等式的精确化最佳推广式,还考虑了其加强式、等价式及逆式.

Using the theory of real analysis and estimating the weight coefficient,a parameter α≥-3/ 4＋33/12-0.271 3 is introduced and a more accurate extension of a Hilbert-type inequality with homogeneous kernel of zero-degree and a best constant factor is given.The strengthened version,the equivalent form and the reverse form are also considered.