摘要
对Hardy-Hilbert不等式进行了研究。通过引入参数对杨必成权系数不等式作出了加强推广。利用改进的Euler-Maclaurin求和公式进行了严格证明,并结合带权的Holder不等式得出了两个联系含多参数的Hardy-Hilbert型不等式,所得结果改进和推广了相关文献的一些相应结果。由此导出的一系列推论,表明了这一结果在得到一类无穷级数形式不等式中的作用。
The Hardy-Hilbert inequality is studied. Strengthen the promotion by introducing parameters of Yang Bicheng inequality for weight coefficient is made. And the use of improved Euter-Maclaurin summation formula, to strengthen the promotion made strict proof. Thus combining Holder inequality with weights obtained Hardy-Hilbert type inequality with two link parameters. The results extend and improve some corresponding results in recent literature.
出处
《四川理工学院学报（自然科学版）》
CAS
2013年第5期67-70,共4页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)
