We establish two sharp inequalities involving the power mean and generalized elliptic integral of the first kind. As applications, the analogous inequalities concerning the complete p-elliptic integral of the first kind are also derived.

中文翻译：

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第一类广义椭圆积分的尖锐幂平均不等式

我们建立了两个尖锐的不等式，它们涉及第一类的幂均值和广义椭圆积分。作为应用，还推导了涉及第一类完整p椭圆积分的类似不等式。