关于积分不等式的证明

On the Proving of the Integral Inequality

本文就积分不等式的证明给出了利用极限运算、二重积分正定性、Hilbert空间的性质及概率论等不同于传统的构造辅助函数和Taylor展开的方法。

This paper puts forwards the proving approaches to integral inequality by the use of limit operation, positive defi- nite double integral, the characteristic of Hibert space as well as probability theory, which are different from the traditional structural supplementary function approach and Taylor＇s developing approach.