摘要
Kantorovich不等式在许多学科中有着重要作用,也有好几种表达方式,其证明方法也是多种多样,但有些方法需要较深的数学理论知识,使初学者不易掌握,感到有些困难,据此考虑,提出了一些利用初等函数性质和基本代数不等式的证明方法,并将已有文献中Kantorovich不等式的积分形式作了进一步推广,力求使其更具有应用的广泛性,最后介绍了Kantorovich不等式的应用情况。
Kantorovich inequality plays an important role in many subjects and presents different kinds of expressive form.There are many kinds of proof methods,but some need profound mathematical knowledge which is not easy to grasp.Based on the above consideration,and according to the character of some elementary functions and basic algebra inequality,some elementary proof methods on Kantorovich elementary proof methods about Kantorovich inequality are proposed.Integral form is extended in order to make the inequality be applied comprehensively.Finally,the applications of Kantorovich inequality in some subjects are introduced.
出处
《桂林电子工业学院学报》
2005年第2期37-40,共4页
Journal of Guilin Institute of Electronic Technology
