关于推广Radon不等式的一个结果及应用

A result of extending Radon's inequality and its application

利用H lder不等式、W.H.Young不等式、幂平均不等式建立Radon不等式的指数推广形式,得到一个具有广泛应用价值的不等式.指出文[6]中给出的关于Radon不等式的推广结果是错误的,并在本文中作了修正.

In this paper,the exponential generalization of the Radon's inequality is established by using Hlder's inequality and W.H.Young's inequality and mean value inequality.It is of great value to us.Moreover,the writer points out that the result about the generalization of Radon's inequality in paper[6]is wrong.At the end of this paper a correct result about the generalized inequality is given.