建立不等式的降维方法(Ⅱ)(英文)

The method of descending dimension for establishing inequalities (Ⅱ)

使用降维法建立了一些著名不等式,包括关于方差平均不等式的一个猜想,王-王不等式以及其它.通过论证再次观察到,这种新近发展起来的方法可以广泛用于不等式研究,且有别于用在证明不等式的归纳法.

The authors use the method of descending dimension to establish some well-dnown inequalities, including a conjecture for inequalities of the mean of difference, Wang-Wang inequality and others new inequalities. Via these arguments, we can once more observe that the newly developed method is widely used in studies of establishing inequalities. We can also observe that the method is constructed in a form somewhat differing from that of other techniques of induction used for proving inequalities.