摘要
In this paper it is shown that a refinement on the weighted Hilbert inequalityfor double series can be established by introducing a proper non-zero real number R_ω.The expression of R_ω is given by means of the positive definiteness of a Gram matrix.
本文通过引入一个适当的非零实数R_ω得到了加权Hilbert不等式的一个改进,并且利用Gram矩阵的正定性给出了R_ω的具体表达式。
