对Shapiro不等式推广形式的一点注记

A Note on the Generalization of the Shapiro Inequality

运用幂级数展开式、Cp不等式及均值不等式对Shapiro不等式的推广进行了修正,给出当0<p<1该推广不成立的反例,并对修正后的Shapiro不等式的推广进行了证明.

By using power series expansion, Cp inequality and AM--GM inequality, the generalization of the Shapiro inequality was revised. Counter--examples are given for the incorrectness of the generalization while 0 〈p〈1 and the generalization of the revised Shapiro inequality is proved.