A Hilbert-type integral inequality with the mixed kernel of multi-parameters

作者：Liu, Qiong; Sun, Wenbing^*

来源：Comptes Rendus Mathematique, 2013, 351(15-16): 605-611.

DOI：10.1016/j.crma.2013.09.001

In this paper, by means of the weight function and the technique of real analysis, and introducing the Gamma-function and the Riemann zeta-function to jointly characterize the constant factor, a Hilbert-type integral inequality with the mixed kernel of multi-parameters and its equivalent form are given; their constant factors are proved to be the best possible. By selecting special parameter values, some meaningful results are obtained.

• 出版日期2013-8
• 单位邵阳学院