Van der Corput不等式的进一步改进

Further Improvement of Van der Corput’s Inequality

本文首先改进对Euler常数的估计式,在胡克已改进的Van der Corput不等式的基础上进一步改进Van der Corput不等式,得到,其中r 是Euler常数,,。

On the basis of Hu Ke’s result, by reforming the estimate inequality of Euler constant, the improved Van der Corput’s inequality is obtained. Our result is:where r is Euler constant, , .。