含高阶导数和变积分限的Opial型不等式  

Opial Type Inequalities Involving Higher Order Derivatives and a Varying Limit of Integration

作　　者：杨恩浩[1] 

机构地区：[1]暨南大学数学系

出　　处：《暨南大学学报（自然科学与医学版）》1997年第3期1-9,共9页Journal of Jinan University(Natural Science & Medicine Edition)

基　　金：广东省自然科学基金;国务院侨务办公室重点学科基金

摘　　要：在Ｏｐｉａｌ积分不等式及其沿着不同方向的推广中，不等式两端都是定积分项。讨论具变动积分限并含有高阶导数的积分微分不等式，适当选取变积分限的值。Some new integro-differential inequalities for one variable functions are established.A varying limit of integration and several higher order derivatives are appeared in these inequalities.Upon taking suitable value of the varying limit,we derive some Opial type inequalities which generalise or/and yield complementary results to some very recent results on Opial-type inequalities.

关 键 词：积分微分不等式 OPIAL型 高阶导数 变积分限 

分 类 号：O178[理学—数学]