关于一个积分不等式的注记  

Remarks on an Integral Inequality

作　　者：郑军 王浩帆 ZHENG Jun;WANG Hao-fan(School of Mathematics,Southwest Jiaotong University,Chengdu 611756,China;School of Information Science&Technology,Southwest Jiaotong University,Chengdu 611756,China)

机构地区：[1]西南交通大学数学学院,成都611756 [2]西南交通大学信息科学与技术学院,成都611756

出　　处：《大学数学》2018年第5期93-98,共6页College Mathematics

基　　金：西南交通大学高层次人才专项经费(10801X10096022)

摘　　要：文献《一个特定型积分不等式的若干推广》(《大学数学》29卷第1期)和《一个特定型积分不等式若干推广的注记》(《大学数学》34卷第1期)对一个特定型积分不等式问题进行了探讨和推广,本文对该不等式给出一些注记,指出该不等式实为Opial—华罗庚型不等式,并做进一步推广.This paper gives remarks on a certain integral inequality that has been considered and generalized in《Some generalization of a specific type definite integral inequality》(College Mathematics,Vol.29,No.1,134-137)and《A note on some generalization of a specific type definite integral inequality》(College Mathematics,Vol.34,No.1,94-95),pointing out that it is essentially an Opial-Hua’inequality.This paper also makes further generalization of such an inequality.

关 键 词：积分不等式 OPIAL不等式 华罗庚不等式 

分 类 号：O172.2[理学—数学]