Kantoroich积分不等式的加权加强推广式  

A weighted and strengthened popularization of Kantoroich′s integral inequality

作　　者：罗俊丽[1] 

机构地区：[1]商洛学院数学系,陕西商洛726000

出　　处：《纺织高校基础科学学报》2007年第1期103-106,共4页Basic Sciences Journal of Textile Universities

基　　金：全国教育科学"十五"规划重点课题(EHA030431);商洛学院科研基金资助项目(06SKY115)

摘　　要：在分析和研究Kantoroich不等式及积分不等式的基础上,通过归纳类比的方法,得到了一个新的Kantoroich不等式的加权加强积分推广式,并运用构造性方法给出了一种简洁有趣的证明,又进一步讨论了新的加权加强积分不等式的应用.On the base of analyzing and studying Kantoroich inequality and integral inequality, through the induction analogy method,a new weighted and strengthened popularization of Kantoroich＇s inequality has been obtained. And easy and interesting proof is given. The new weigting to strengthen the integral inequality the application is also further discussed.

关 键 词：Kantoroich积分不等式 新的加权加强积分不等式 构造性证法 

分 类 号：O178[理学—数学]