摘要
有别于研究Van Der Corput不等式的传统方法,利用作者已经证明的最值单调定理,得出了该不等式的又一个新的加强式.它不仅强于现有的许多结果,而且形式美观;同时表明最值单调定理在不等式研究中具有重要的作用。
On the basic of independent variables’ extremum theorem proved by the author,this article obtains another new strenthened version of Van Der Corput inequality with a method totally different from the traditional research method of Van Der Corput inequality.The newly obtained version is not only stronger than many other existing results,but also with a beautiful form.Meanwhile,it demonstrates the significance of independent variables’ extremum theorem in the research of ineqialities.
出处
《纯粹数学与应用数学》
CSCD
2010年第6期895-904,共10页
Pure and Applied Mathematics
基金
浙江省教育厅2008年度科研项目(Y200804124)
