Abstract :
In this article, using the properties of the power mean, the author proves the
inequality
n a1qa2q???qan xqy.Fn n 1 aix xqy.rxFa1xqyqa2xqyq???qanxqy / / n n n n is1
for a1, a2, . . . , an a set of n nonnegative quantities, nG1, and for some real
numbers x, ygR.