一个对偶的Hardy-Hilbert不等式及其推广

摘要

This paper gives a dual Hardy-Hilbert's inequality with a best constant factor,which is a new extension of Hilbert's inequality with(p,q)-parameter form. We also consider its more extended form and an equivalent inequality with a single parameter.%本文给出一个对偶的具有最佳常数因子的Hardy-Hilbert不等式,它是Hilbert不等式的具有(p,g)-参数形式的新推广.还考虑了它的更为推广的单参数形式及一个等价不等式.