关于有限区间逆向的Hilbert型积分不等式

On a reverse Hilbert-type integral inequality in the finite interval

引入多参数,应用实分析的方法,在区间(0,b)上建立逆向的具有最佳常数因子的Hilbert型积分不等式及等价式.作为应用,还考虑了一些特殊核的例子.

By introducing some parameters and using the way of real analysis, a reverse Hilbert-type integral inequality and the equivalent forms in the finite interval with the best constant factors are given. As applications, a few equivalent inequalities of the particular kernels are considered.