标题:
Van der Corput不等式的进一步改进Further Improvement of Van der Corput’s Inequality
作者:
洪静, 洪勇
关键字:
Van der Corput不等式, Euler常数, 凸函数, 加权平均值不等式Van der Corput’s Inequality; Euler Constant; Convex Function; Weighted Mean Inequality
期刊名称:
《Pure Mathematics》, Vol.3 No.1, 2013-01-11
摘要:
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, , .。