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对Van Der Corput不等式的加强
引用本文:许谦,张小明.对Van Der Corput不等式的加强[J].纯粹数学与应用数学,2010,26(6):895-904.
作者姓名:许谦  张小明
作者单位:嘉兴广播电视大学,浙江,嘉兴,314000;浙江广播电视大学海宁学院,浙江,海宁,314400
基金项目:浙江省教育厅2008年度科研项目
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。

关 键 词:不等式  Van  Der  Corput不等式  最值单调定理

A strengthened of Van Der Corput's inequality
XU Qian,ZHANG Xiao-ming.A strengthened of Van Der Corput's inequality[J].Pure and Applied Mathematics,2010,26(6):895-904.
Authors:XU Qian  ZHANG Xiao-ming
Institution:XU Qian 1,ZHANG Xiao-ming 2(1.Jiaxing Broadcast and TV University,Jiaxing 314000,China,2.Zhejiang Broadcast and TV University Haining College,Haining 314400,China)
Abstract: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.
Keywords:inequality  Van Der Corput’s inequality  independent variables’ extremum theorem
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