涉及Hardy函数的不等式

Several Inequalities Involving Hardy Functions

定义了n维正实数组的Hardy函数,借助于切比雪夫不等式、数学归纳法及优超理论获得了一些涉及Hardy函数的不等式,并展示了一些优美的解析不等式及建立高维解析不等式的有效方法.

In this paper, the Hardy function is defined for n-tuple of positive real numbers. By means of Chebyshev＇ s inequality, induction principle and the theory of majorization, several inequalities involving the Hardy function are obtained. Some elegant analytic inequalities and effective methods for establishing analytic inequalities of higher dimensions are displayed.