Hardy-Hilbert不等式的多参数的推广

The multi-parameters extension of Hardy-Hilbert

摘要: 利用改进了的H¨older不等式,引入参数A、B和C对Hardy Hilbert不等式进行多参数的推广.作为应用,建立了一个推广的Hardy Hilbert不等式.

Abstract: It is shown that the Hardy-Hilbert's inequality can be multi-parameter extended by means of a sharpening of Hlder's inequality and by introducing parameters A、B and C. As its applications,a extended Hardy-Hilbert's inequality is given.