一个逆向的Hardy-Hilbert型不等式

A Reverse of the Hardy-Hilbert′s Type Inequality

通过建立弱条件下的Eu ler-M aclaurin求和公式的余项估值式,精确估算权系数,给出一个逆向的H ardy-H ilbert型不等式.作为应用,考虑了它的加强式及等价形式.

By estimating the remainder formula under the week condition of Euler-Maclaurin＇s summation formula and obtaining the weight coefficient accurately, one gives a reverse of the Hardy-Hilbert＇s type inequality with a beat constant factor. As applications, a strengthened version and an equivalent form are considered.